Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 17)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

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Bulletin of the Malaysian Mathematical Sciences Society
Journal Prestige (SJR): 0.626
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0126-6705 - ISSN (Online) 2180-4206
Published by Springer-Verlag Homepage  [2658 journals]
  • Edges in Fibonacci Cubes, Lucas Cubes and Complements

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      Abstract: The Fibonacci cube of dimension n, denoted as \(\Gamma _n\) , is the subgraph of the hypercube induced by vertices with no consecutive 1s. The Lucas cube \(\Lambda _n\) is the cyclic version of \(\Gamma _n\) . The irregularity of a graph G is the sum of \( d(x)-d(y) \) over all edges \(\{x,y\}\) of G. In two recent papers based on the recursive structure of \(\Gamma _n\) , it is proved that the irregularity of \(\Gamma _n\) and \(\Lambda _n\) is two times the number of edges of \(\Gamma _{n-1}\) and 2n times the number of vertices of \(\Gamma _{n-4}\) , respectively. Using an interpretation of the irregularity in terms of couples of incident edges of a special kind, we give a bijective proof of both results. For these two graphs, we deduce also a constant time algorithm for computing the imbalance of an edge. In the last section using the same approach, we determine the number of edges and the sequence of degrees of the cube complement of \(\Gamma _n\) .
      PubDate: 2021-11-01
       
  • Stability Analysis for Explicit ERKN Methods Solving General Second-Order
           Oscillatory Systems

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      Abstract: In order to solve the general multidimensional perturbed oscillatory system \(y'' + \varOmega y = f(y, y')\) with \(K\in {\mathbb {R}}^{d\times d}\) , the order conditions for the ERKN (extended Runge–Kutta–Nyström) methods and some effective ERKN methods were presented in the literature. These methods integrate exactly the multidimensional unperturbed oscillator \(y'' + \varOmega y = 0\) . In this paper, we analyze the stability of ERKN methods for general oscillatory second-order initial value problems whose right-hand-side functions depend on both y and \(y'\) . Based on the linear test model \(y''(t)+\omega ^2y(t)+\mu y'(t)=0\) with \(\mu <2\omega \) , further discussion and analysis on the linear stability of ERKN methods for general oscillatory problems are presented. A new conception of \(\alpha \) -stability region is proposed to investigate how well the numerical methods respect the damping rate of the general oscillatory systems. It gains more insight to the numerical methods when applied to the systems involving \(y'\) . Numerical experiments are carried out to show the significance of the theory.
      PubDate: 2021-11-01
       
  • Sign-Changing Solutions to a N-Kirchhoff Equation with Critical
           Exponential Growth in $$\mathbb {R}^N$$ R N

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      Abstract: We study the existence and asymptotic behavior of least energy sign-changing solutions for a N-Laplacian equation of Kirchhoff type with critical exponential growth in \(\mathbb {R}^N\) $$\begin{aligned} \left\{ \begin{aligned}&- \bigg (a+b\int _{\mathbb {R}^N} \nabla u ^N\mathrm{d}x\bigg )\Delta _N u+V( x ) u ^{N-2}u= f( x ,u), \\&u\in W^{1,N}(\mathbb {R}^N), \\ \end{aligned} \right. \end{aligned}$$ where \(a,b>0\) are constants, \(\Delta _Nu=\text {div}( \nabla u ^{N-2}\nabla u)\) , and V(x) is a smooth function. Under some suitable assumptions on \(f\in C(\mathbb {R}^N\times \mathbb {R})\) , we apply the constraint minimization argument to establish a least energy sign-changing solution \(u_b\) with precisely two nodal domains. Moreover, we show that the energy of \(u_b\) is strictly larger than two times of the ground state energy and analyze the asymptotic behavior of \(u_b\) as \(b\searrow 0^+\) . Our results generalize the existing ones to the N-Kirchhoff equation with critical growth.
      PubDate: 2021-11-01
       
  • Non-permutability Graph of Subgroups

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      Abstract: Given a finite group G, the permutability graph of non-normal subgroups \(\Gamma _{N}(G)\) is given by all proper non-normal subgroups of G as vertex set and two vertices H and K are joined if \(HK = KH\) . Rajkumar and Devi generalized \(\Gamma _{N}(G)\) to the permutability graph of subgroups \(\Gamma (G)\) , extending the vertex set to all proper subgroups of G (removing the assumption of being non-normal) and keeping the same criterion to join two vertices. We consider a natural counterpart for \(\Gamma (G)\) and \(\Gamma _{N}(G)\) , that is, the subgroups lattice \(\mathrm {L}(G)\) of G, and introduce the non-permutability graph of subgroups \(\Gamma _{\mathrm {L}(G)}\) ; its vertices are now given by the set \(\mathrm {L}(G)-{\mathfrak {C}}_{\mathrm {L}(G)}(\mathrm {L}(G))\) , where \({\mathfrak {C}}_{\mathrm {L}(G)}(\mathrm {L}(G))\) denotes the smallest sublattice of \(\mathrm {L}(G)\) containing all permutable subgroups of G, and we join two vertices H, K of \(\Gamma _{\mathrm {L}(G)}\) if and only if \(HK\ne KH\) . We study classical invariants of \(\Gamma _{\mathrm {L}(G)}\) , showing generalizations of previous results in the literature.
      PubDate: 2021-11-01
       
  • An Inverse Source Problem of Space-Fractional Diffusion Equation

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      Abstract: This paper is devoted to an inverse space-dependent source problem for space-fractional diffusion equation. Furthermore, we show that this problem is ill-posed in the sense of Hadamard, i.e., the solution (if it exists) does not depend continuously on the data. In addition, we propose a simplified generalized Tikhonov regularization method and prove the corresponding convergence estimates by using a priori regularization parameter choice rule and a posteriori parameter choice rule, respectively. Finally, numerical examples are carried to support the theoretical results and illustrate the effectiveness of the proposed method.
      PubDate: 2021-11-01
       
  • On (p, 1)-Total Labelling of NIC-Planar Graphs

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      Abstract: A graph is NIC-planar if it can be drawn in the plane so that there is at most one crossing per edge and two pairs of crossing edges share at most one common end vertex. A (p, 1)-total k-labelling of a graph G is a function f from \(V(G)\cup E(G)\) to the color set \(\{0,1,\ldots ,k\}\) such that \( f(x)-f(y) \ge 1\) if \(xy\in E(G)\) , \( f(e_1)-f(e_2) \ge 1\) if \(e_1\) and \(e_2\) are two adjacent edges in G, and \( f(x)-f(e) \ge p\) if a vertex x is incident with the edge e. The minimum k such that G has a (p, 1)-total k-labelling is the (p, 1)-total labelling number of G. In this paper, we prove that the (p, 1)-total labelling number ( \(p\ge 2\) ) of every NIC-planar graph G is at most \(\Delta (G)+2p-2\) provided that \(\Delta (G)\ge 6p+4.\)
      PubDate: 2021-11-01
       
  • Grundy Domination and Zero Forcing in Regular Graphs

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      Abstract: Given a finite graph G, the maximum length of a sequence \((v_1,\ldots ,v_k)\) of vertices in G such that each \(v_i\) dominates a vertex that is not dominated by any vertex in \(\{v_1,\ldots ,v_{i-1}\}\) is called the Grundy domination number, \(\gamma _\mathrm{gr}(G)\) , of G. A small modification of the definition yields the Z-Grundy domination number, which is the dual invariant of the well-known zero forcing number. In this paper, we prove that \(\gamma _\mathrm{gr}(G) \ge \frac{n + \lceil \frac{k}{2} \rceil - 2}{k-1}\) holds for every connected k-regular graph of order n different from \(K_{k+1}\) and \(\overline{2C_4}\) . The bound in the case \(k=3\) reduces to \(\gamma _\mathrm{gr}(G)\ge \frac{n}{2}\) , and we characterize the connected cubic graphs with \(\gamma _\mathrm{gr}(G)=\frac{n}{2}\) . If G is different from \(K_4\) and \(K_{3,3}\) , then \(\frac{n}{2}\) is also an upper bound for the zero forcing number of a connected cubic graph, and we characterize the connected cubic graphs attaining this bound.
      PubDate: 2021-11-01
       
  • Some Weighted Estimates on Gaussian Measure Spaces

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      Abstract: In this paper, we obtain the weighted boundedness for the local multi(sub)linear Hardy–Littlewood maximal operators and local multilinear fractional integral operators associated with the local Muckenhoupt weights on Gaussian measure spaces. We deal with these problems by introducing a new pointwise equivalent “radial” definitions of these local operators. Moreover, using a similar approach, we also get the weighted boundedness for the local fractional maximal operators with rough kernel and local fractional integral operators with rough kernel on Gaussian measure spaces.
      PubDate: 2021-11-01
       
  • A Note on Fractal Measures and Cartesian Product Sets

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      Abstract: In this paper, we give a new product formula : $$\begin{aligned} {\mathsf {H}}^t(E) {\mathsf {H}}^s(F)\le c_1 {\mathsf {H}}^{t+s}(E\times F)\le & {} c_2 {\mathsf {H}}^s(E) {\mathsf {P}}^t(F)\\\le & {} c_3 {\mathsf {P}}^{t+s}(E\times F) \le c_4 {\mathsf {P}}^s(E) {\mathsf {P}}^t(F). \end{aligned}$$ where \(E\subseteq \mathbb {R}^d\) , \(F\subseteq \mathbb {R}^l\) , \(t,s\ge 0\) and \( {\mathsf {H}}^t\) and \({\mathsf {P}}^s\) denote, respectively, the lower and upper Hewitt–Stromberg measures. Using these inequalities, we give lower and upper bounds for the lower and upper Hewitt–Stromberg dimensions \({\mathsf {b}}(E\times F)\) and \({\mathsf {B}}(E\times F)\) in terms of the Hewitt–Strombeg dimensions of E and F.
      PubDate: 2021-11-01
       
  • Symmetry and Monotonicity of a Nonlinear Schrödinger Equation Involving
           the Fractional Laplacian

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      Abstract: In this paper, we consider a nonlinear Schrödinger equation involving the fractional Laplacian with Dirichlet condition: $$\begin{aligned} {\left\{ \begin{array}{ll} (-\Delta )^{\frac{\alpha }{2}}u+A(x)u=f(x,u,\nabla u) \ \text{ in } \ \Omega ,\\ u>0, \ \text{ in }\ \Omega ; \ u\equiv 0, \ \text{ in }\ \mathbb R^n\backslash \Omega , \end{array}\right. } \end{aligned}$$ where \(\Omega \) is a domain (bounded or unbounded) in \(\mathbb R^n\) which is convex in \(x_1\) -direction. By using some ideas of maximum principle and the direct moving plane method, we prove that the solutions are strictly increasing in \(x_1\) -direction in the left half domain of \(\Omega \) . Symmetry of some solutions are also proved. Meanwhile, we obtain a Liouville type theorem on the half space \(\mathbb R^n_+\) .
      PubDate: 2021-11-01
       
  • From (Secure) w-Domination in Graphs to Protection of Lexicographic
           Product Graphs

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      Abstract: Let \(w=(w_0,w_1, \dots ,w_l)\) be a vector of nonnegative integers such that \( w_0\ge 1\) . Let G be a graph and N(v) the open neighbourhood of \(v\in V(G)\) . We say that a function \(f: V(G)\longrightarrow \{0,1,\dots ,l\}\) is a w-dominating function if \(f(N(v))=\sum _{u\in N(v)}f(u)\ge w_i\) for every vertex v with \(f(v)=i\) . The weight of f is defined to be \(\omega (f)=\sum _{v\in V(G)} f(v)\) . Given a w-dominating function f and any pair of adjacent vertices \(v, u\in V(G)\) with \(f(v)=0\) and \(f(u)>0\) , the function \(f_{u\rightarrow v}\) is defined by \(f_{u\rightarrow v}(v)=1\) , \(f_{u\rightarrow v}(u)=f(u)-1\) and \(f_{u\rightarrow v}(x)=f(x)\) for every \(x\in V(G){\setminus }\{u,v\}\) . We say that a w-dominating function f is a secure w-dominating function if for every v with \(f(v)=0\) , there exists \(u\in N(v)\) such that \(f(u)>0\) and \(f_{u\rightarrow v}\) is a w-dominating function as well. The (secure) w-domination number of G, denoted by ( \(\gamma _{w}^s(G)\) ) \(\gamma _{w}(G)\) , is defined as the minimum weight among all (secure) w-dominating functions. In this paper, we show how the secure (total) domination number and the (total) weak Roman domination number of lexicographic product graphs \(G\circ H\) are related to \(\gamma _w^s(G)\) or \(\gamma _w(G)\) . For the case of the secure domination number and the weak Roman domination number, the decision on whether w takes specific components will depend on the value of \(\gamma _{(1,0)}^s(H)\) , while in the case of the total version of these parameters, the decision will depend on the value of \(\gamma _{(1,1)}^s(H)\) .
      PubDate: 2021-11-01
       
  • Lelong–Demailly Numbers and Wedge Product of S-Plurisubahrmonic
           Currents

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      Abstract: In this paper, we show the existence of the Lelong–Demailly numbers of positive S-plurisubharmonic currents. Moreover, a valid definition of \(\mathrm{{dd}}^{c}g \wedge T\) is obtained for plurisubharmonic currents T and unbounded plurisubharmonic functions g. The importance of this definition comes from the sharpness of our condition on the Hausdorff dimension of the locus points of g.
      PubDate: 2021-11-01
       
  • Strong Edge Geodetic Problem on Grids

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      Abstract: Let \(G=(V(G),E(G))\) be a simple graph. A set \(S \subseteq V(G)\) is a strong edge geodetic set if there exists an assignment of exactly one shortest path between each pair of vertices from S, such that these shortest paths cover all the edges E(G). The cardinality of a smallest strong edge geodetic set is the strong edge geodetic number \(\mathrm{sg_e}(G)\) of G. In this paper, the strong edge geodetic problem is studied on the Cartesian product of two paths. The exact value of the strong edge geodetic number is computed for \(P_n \,\square \,P_2\) , \(P_n \,\square \,P_3\) and \(P_n \,\square \,P_4\) . Some general upper bounds for \(\mathrm{sg_e}(P_n \,\square \,P_m)\) are also proved.
      PubDate: 2021-11-01
       
  • On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces

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      Abstract: The aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operators.
      PubDate: 2021-11-01
       
  • Modelling and Analysis of GI/BMSP/1 Queueing System

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      Abstract: This paper investigates a single server queueing system with an infinite waiting space in which customers are arrived according to renewal process and are served in batches of random size under continuous-time batch Markovian service process. We first determine the vector probability generating function of the system-length distribution at pre-arrival epoch. The system-length distribution at pre-arrival epoch is extracted in terms of zeros of the related characteristic polynomial of the vector probability generating function. By the Markov renewal theory argument, we determine the system-length distribution at random epoch. We also derive the system-length distribution at post-departure epoch using the ‘rate in = rate out’ argument. Finally, some numerical results are exhibited for different inter-arrival time distribution to demonstrate the system performance measures and correctness of analytical results.
      PubDate: 2021-11-01
       
  • A Relaxed Version of Šoltés’s Problem and Cactus Graphs

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      Abstract: The Wiener index is one of the most widely studied parameters in chemical graph theory. It is defined as the sum of the lengths of the shortest paths between all unordered pairs of vertices in a given graph. In 1991, Šoltés posed the following problem regarding the Wiener index: Find all graphs such that its Wiener index is preserved upon removal of any vertex. The problem is far from being solved, and to this day, only one graph with such property is known: the cycle graph on 11 vertices. In this paper, we solve a relaxed version of the problem, proposed by Knor et al. in 2018. For a given k, the problem is to find (infinitely many) graphs having exactly k vertices such that the Wiener index remains the same after removing any of them. We call these vertices good vertices, and we show that there are infinitely many cactus graphs with exactly k cycles of length at least 7 that contain exactly 2k good vertices and infinitely many cactus graphs with exactly k cycles of length \(c \in \{5,6\}\) that contain exactly k good vertices. On the other hand, we prove that G has no good vertex if the length of the longest cycle in G is at most 4.
      PubDate: 2021-11-01
       
  • Geometric Properties of the Triangular Ratio Metric and Related Metrics

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      Abstract: We study the inclusion relation of the triangular ratio metric balls and the Cassinian metric balls in subdomains of \(\mathbb {R}^n\) . Moreover, we study distortion properties of Möbius transformations with respect to the triangular ratio metric in the punctured unit ball.
      PubDate: 2021-11-01
       
  • On the Discretized Li Coefficients for a Certain Class of $$L-$$ L -
           Functions

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      Abstract: The \(\tau \) -Keiper/Li coefficients attached to a function F are closely related to its zero-free regions. However, the absence of a closed formula for calculating these coefficients makes them challenging to use. Motivated by Voros approach, we introduce the discretized \(\tau \) -Keiper/Li coefficients. A finite sum representation derived for these coefficients is useful for numerical calculations. Representation in terms of zeros of the corresponding function is basis for analytic considerations. We prove that the violation of \(\tau /2\) -generalized Riemann hypothesis implies oscillations of corresponding discretized \(\tau \) -Li coefficients with power-growing amplitudes. Results are obtained for the class \({\mathcal {S}}^{\sharp \flat }(\sigma _0, \sigma _1)\) , which contains the Selberg class, the class of all automorphic L-functions, the Rankin–Selberg L-functions, as well as products of suitable shifts of those functions.
      PubDate: 2021-11-01
       
  • An Iterative Explicit Algorithm for Solving Equilibrium Problems in Banach
           Spaces

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      Abstract: In this paper, a new extragradient algorithm is presented to solve the pseudomonotone equilibrium problem with a Bregman–Lipschitz-type condition. The superiority of this algorithm is that it can be performed without any precedent information about the Bregman–Lipschitz coefficients. The weak convergence of the algorithm is determinate under mild assumption, and the strong convergence will be established as the bifunction equilibrium is satisfied in different additional assumptions. In conclusion, we can use the algorithm to find a solution of the variational inequality problem. At the end, several numerical examples are exhibited that demonstrate the efficiency of our method compared to the related methods in the studies.
      PubDate: 2021-11-01
       
  • Optimality and Duality for Multi-objective Fractional Programming in
           Complex Spaces

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      Abstract: In this paper, we consider a complex multi-objective fractional programming problem (CMFP). We establish the necessary optimality conditions of problem (CMFP) in the sense of Pareto optimality and derive its sufficient optimality conditions using generalized convexity. Finally, we construct the parametric dual problem to the primal problem (CMFP) and their duality theorems.
      PubDate: 2021-11-01
       
 
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