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MATHEMATICS (656 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, 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: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
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  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
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: 1)
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: 7)
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: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)

        1 2 3 4 | Last

Journal Cover Bulletin of the Malaysian Mathematical Sciences Society
  [SJR: 0.614]   [H-I: 14]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0126-6705 - ISSN (Online) 2180-4206
   Published by Springer-Verlag Homepage  [2353 journals]
  • Higher-Order Duality Relations for Multiobjective Fractional Problems
           Involving Support Functions
    • Authors: Indira P. Debnath; S. K. Gupta
      Abstract: Abstract In this article, we have introduced a new class of higher-order \((K\times Q)\) -F-type I functions. Further, we have formulated two higher-order dual models, Wolfe and Schaible type, for a multiobjective fractional programming problem over arbitrary cones and proved appropriate duality relations under the higher-order \((K\times Q)\) -F-type I assumption. Nontrivial examples are also discussed to validate the weak duality results obtained in the paper.
      PubDate: 2017-09-07
      DOI: 10.1007/s40840-017-0542-4
  • Global Existence of Weak Solutions to a Higher-Order Parabolic System
    • Authors: Aibo Liu; Changchun Liu
      Abstract: Abstract In this paper, we study the coupling of the non-Newtonian Navier–Stokes equation and the oil–water–surfactant equation which stand for a model of a multi-phase incompressible dipolar viscous non-Newtonian fluid under shear. Based on Galerkin approximation and Simon’s compactness results, we obtain the existence and uniqueness of weak solutions of the system.
      PubDate: 2017-09-01
      DOI: 10.1007/s40840-017-0543-3
  • Several New Estimates of the Minimum H -eigenvalue for Nonsingular
           $$\mathcal {M}$$ M -tensors
    • Authors: Jingjing Cui; Guohua Peng; Quan Lu; Zhengge Huang
      Abstract: Abstract In this paper, several new estimates of the minimum H-eigenvalue for weakly irreducible nonsingular \(\mathcal {M}\) -tensors, including the new Brauer-type estimates and the new S-type estimates, are derived. It is proved that the new estimates are tighter than some existing ones and numerical examples are given to verify this fact. The other main result of this paper is to provide a sharper Ky Fan-type theorem which is better than the original Ky Fan theorem for the nonsingular \(\mathcal {M}\) -tensors.
      PubDate: 2017-08-31
      DOI: 10.1007/s40840-017-0544-2
  • Regularity Criterion for the 3D Micropolar Fluid Equations in Terms of
    • Authors: Qiao Liu
      Abstract: Abstract In this paper, we consider the regularity of weak solutions to the 3D incompressible micropolar fluid equations. It is proved that if the one directional derivative of the pressure, say \(\partial _{3}P\) , satisfies $$\begin{aligned} \partial _{3}P \in L^{\beta }(0,T;L^{\alpha }(\mathbb {R}^{3})) \quad \text { with } \frac{2}{\beta }+\frac{3}{\alpha }\le 2, \frac{3}{2}\le \alpha <\infty , \end{aligned}$$ then the corresponding weak solution \((u,\omega )\) is regular on [0, T].
      PubDate: 2017-08-31
      DOI: 10.1007/s40840-017-0545-1
  • Decomposition of the Nonabelian Tensor Product of Lie Algebras via the
           Diagonal Ideal
    • Authors: Peyman Niroomand; Farangis Johari; Mohsen Parvizi; Francesco G. Russo
      Abstract: Abstract We prove a theorem of splitting for the nonabelian tensor product \(L \otimes N\) of a pair (L, N) of Lie algebras L and N in terms of its diagonal ideal \(L \square N\) and of the nonabelian exterior product \(L \wedge N\) . A similar circumstance was described few years ago in the special case \(N=L\) . The interest is due to the fact that the size of \(L \square N\) influences strongly the structure of \(L \otimes N\) .
      PubDate: 2017-08-30
      DOI: 10.1007/s40840-017-0540-6
  • Leibniz Algebras Constructed by Representations of General Diamond Lie
    • Authors: L. M. Camacho; I. A. Karimjanov; M. Ladra; B. A. Omirov
      Abstract: Abstract In this paper we construct a minimal faithful representation of the \((2m+2)\) -dimensional complex general Diamond Lie algebra, \(\mathfrak {D}_m(\mathbb {C})\) , which is isomorphic to a subalgebra of the special linear Lie algebra \(\mathfrak {sl}(m+2,\mathbb {C})\) . We also construct a faithful representation of the real general Diamond Lie algebra \(\mathfrak {D}_m\) which is isomorphic to a subalgebra of the special symplectic Lie algebra \(\mathfrak {sp}(2m+2,\mathbb {R})\) . Furthermore, we describe Leibniz algebras with corresponding \((2m+2)\) -dimensional real general Diamond Lie algebra \(\mathfrak {D}_m\) and such that the ideal generated by the squares of elements provides a faithful representation of \(\mathfrak {D}_m\) .
      PubDate: 2017-08-30
      DOI: 10.1007/s40840-017-0541-5
  • Global Existence Structure of Parameters for Positive Solutions of a
           Singular $$(p_1,p_2)$$ ( p 1 , p 2 ) -Laplacian System
    • Authors: Yong-Hoon Lee; Xianghui Xu
      Abstract: Abstract We study the homogeneous Dirichlet boundary value problem of a singular \((p_1,p_2)\) -Laplacian system with multiparameters. The global structure of multiparameters for existence, nonexistence and multiplicity of positive solutions can be obtained. Proofs are mainly based on the upper and lower solution method, the fixed point index theory in a cone, generalized Picone identity, global continuum theorem and degree arguments. As an application, we can establish the global result of the positive radial and decaying solutions for a class of quasilinear elliptic systems in exterior domains.
      PubDate: 2017-08-21
      DOI: 10.1007/s40840-017-0539-z
  • A Note on Carleson Measures for Besov–Sobolev Spaces in the Unit
    • Authors: Cheng Yuan; Cezhong Tong
      Abstract: Abstract We show that a class of logarithmic Carleson measures is the Carleson measure for the Besov–Sobolev space in the unit ball of \(\mathbb {C}^n\) .
      PubDate: 2017-08-21
      DOI: 10.1007/s40840-017-0538-0
  • Infinitely Many Sign-Changing Solutions for Kirchhoff-Type Equations in
           $$\mathbb {R}^3$$ R 3
    • Authors: Dongdong Qin; Fangfang Liao; Yubo He; Xianhua Tang
      Abstract: Abstract Employing the minimax method incorporated with invariant sets of descending flow, we prove some results about the existence of sign-changing solutions for a class of Kirchhoff-type equation. In particular, a sequence of high-energy sign-changing solutions is obtained.
      PubDate: 2017-08-17
      DOI: 10.1007/s40840-017-0534-4
  • On the Singularity of the Conjugation Between Piecewise-Smooth Circle
    • Authors: Sokhobiddin Akhatkulov; Mohd. Salmi Md. Noorani
      Abstract: Abstract Let \(f_1\) and \(f_2\) be two orientation-preserving circle homeomorphisms with the same irrational rotation number \(\rho \) and each with a single break point \(b_1\) and \(b_2\) , respectively. Suppose that the derivatives \(Df_1\) and \(Df_2\) satisfy a certain Zygmund condition except break points and the jumps \(\sigma (b_1)=\frac{Df_1(b_1-0)}{Df_1(b_1+0)}\) , \(\sigma (b_2)=\frac{Df_2(b_2-0)}{Df_1(b_2+0)}\) do not coincide. Then the map \(\psi \) conjugating \(f_1\) and \(f_2\) is singular.
      PubDate: 2017-08-09
      DOI: 10.1007/s40840-017-0535-3
  • Regularity Criteria for the 3D Dissipative System Modeling
    • Authors: Jihong Zhao
      Abstract: Abstract In this paper, we study the three-dimensional dissipative fluid-dynamical model, which is a strongly coupled nonlinear nonlocal system characterized by the Navier–Stokes/Poisson–Nernst–Planck system. It is proved that the local smooth solution can be continued beyond the time T provided that the vorticity \(\omega \) satisfies $$\begin{aligned} \int _{0}^{T}\frac{\Vert \omega (\cdot ,t)\Vert _{\dot{B}^{-\alpha }_{\infty ,\infty }}^{\frac{2}{2-\alpha }}}{1+\ln \left( e+\Vert \omega (\cdot ,t)\Vert _{\dot{B}^{-\alpha }_{\infty ,\infty }}\right) }\mathrm{d}t<\infty \quad \text {for} \,\, 0<\alpha <2. \end{aligned}$$ Moreover, two regularity criteria for the marginal cases \(\alpha =0\) and \(\alpha =2\) are also established, respectively.
      PubDate: 2017-08-07
      DOI: 10.1007/s40840-017-0537-1
  • The Augmented Zagreb Indices of Fluoranthene-Type Benzenoid Systems
    • Authors: Fengwei Li; Qingfang Ye; Juan Rada
      Abstract: Abstract The augmented Zagreb index (AZI index) of a graph \(G=(V,E)\) , which is a valuable predictive index in the study of the heat of formation in octanes and heptanes, is defined as $$\begin{aligned} \hbox {AZI}(G)=\sum _{uv\in E(G)}\left( \frac{d_{u}d_{v}}{d_{u}+d_{v}-2}\right) ^{3}{,} \end{aligned}$$ where \(d_{u}\) and \(d_{v}\) are the degrees of the terminal vertices u and v of edge uv, respectively. In this paper, we give the expressions for computing the augmented Zagreb indices of fluoranthene-type benzenoid systems, and we determine the extremal values of augmented Zagreb index in f-benzenoid systems with h hexagons. Especially, we give the extremal values of augmented Zagreb index in cata-catacondensed fluoranthene-type benzenoid systems with h hexagons.
      PubDate: 2017-08-06
      DOI: 10.1007/s40840-017-0536-2
  • Asymptotic Analysis of a Certain Class of Semilinear Parabolic Problem
           with Interfacial Contact Resistance
    • Authors: Ivy Carol B. Lomerio; Editha C. Jose
      Abstract: Abstract In this paper, we consider a time-dependent semilinear parabolic problem modeling the heat diffusion in a two-component composite. The domain has an \(\varepsilon \) -periodic interface, where the flux of the temperature is proportional to the jump of the temperature field by a factor of order \(\varepsilon ^\gamma \) . We determine the existence and uniqueness of the weak solution of the problem and use the periodic unfolding method to find the homogenization results.
      PubDate: 2017-08-05
      DOI: 10.1007/s40840-017-0532-6
  • Drazin Inverse of Anti-triangular Operator Matrices
    • Authors: Hua Wang; Cai Wu; Junjie Huang
      Abstract: Abstract In this note, we investigate the existence of the Drazin inverse for the anti-triangular operator matrix \(M= \left( {\begin{matrix} A &{} B \\ C &{} 0 \end{matrix}}\right) \) with \(A^2=A\) and \( CAB=0\) , and the explicit representation of \(M^D\) is given in term of \(A, A^D, B,C \) and \((CB)^D\) . In addition, it is shown that \(\mathrm {ind} (M)\le 2 \ \mathrm {ind} (CB)+2\) , which is important to prove the existence and representation of the Drazin inverse for M.
      PubDate: 2017-08-02
      DOI: 10.1007/s40840-017-0533-5
  • Asymptotic Behavior, Regularity Criterion and Global Existence for the
           Generalized Navier–Stokes Equations
    • Authors: Zaihong Jiang; Mingxuan Zhu
      Abstract: Abstract This paper deals with the asymptotic behavior, regularity criterion and global existence for the generalized Navier–Stokes equations. Firstly, an upper bound for the difference between the solution of our equation and the generalized heat equation in \(L^2\) space is proved. We optimize the upper bound of decay for the solutions and obtain the algebraic lower bound by using Fourier splitting method. Then, a new scaling invariant regularity criterion on the fractional derivative is established. Finally, global existence is obtained provided that the initial data are small enough.
      PubDate: 2017-08-01
      DOI: 10.1007/s40840-017-0531-7
  • The Regular Digraph Associated to a Poset
    • Authors: M. Afkhami; S. Bahrami; K. Khashyarmanesh
      Abstract: Abstract Let \((P,\le )\) be a partially ordered set with a least element 0. The regular digraph of ideals of P, denoted by \(\overrightarrow{\Gamma }(P)\) , is a digraph whose vertex-set is the set of all nontrivial ideals of P and, for every two distinct vertices I and J, there is an arc from I to J whenever I contains a nonzero zero-divisor on J. Also, the undirected regular graph of ideals of P, denoted by \(\Gamma (P)\) , is a graph with all nontrivial ideals of P being the vertex-set, and for two distinct vertices I and J, I is adjacent to J if and only if I contains a nonzero zero-divisor on J or J contains a nonzero zero-divisor on I. In this paper, we study some basic properties of \(\overrightarrow{\Gamma }(P)\) . Also we completely characterize all posets P with planar regular graph.
      PubDate: 2017-07-31
      DOI: 10.1007/s40840-017-0530-8
  • Estimations of f - and Rényi Divergences by Using a Cyclic Refinement of
           the Jensen’s Inequality
    • Authors: László Horváth; Đilda Pečarić; Josip Pečarić
      Abstract: Abstract The Jensen’s inequality plays a crucial role to obtain inequalities for divergences between probability distributions. In this paper, we introduce a new functional, based on the f-divergence functional, and then, we obtain some estimates for the new functional, the f-divergence and the Rényi divergence by applying a cyclic refinement of the Jensen’s inequality. Some inequalities for Rényi and Shannon entropies are obtained too. Zipf–Mandelbrot law is used to illustrate the results.
      PubDate: 2017-07-28
      DOI: 10.1007/s40840-017-0526-4
  • A Fully Discrete LDG Method for the Distributed-Order Time-Fractional
           Reaction–Diffusion Equation
    • Authors: Leilei Wei
      Abstract: Abstract In this paper, the numerical approximation of the distributed-order time-fractional reaction–diffusion equation is proposed and analyzed. Based on the finite difference method in time and local discontinuous Galerkin method in space, we develop a fully discrete scheme and prove that the scheme is unconditionally stable and convergent with order \(O\left( h^{k+\frac{1}{2}}+(\Delta t)^2+\Delta \alpha ^4\right) \) , where \(h,k,\Delta t\) and \(\Delta \alpha \) are the space-step size, piecewise polynomial degree, time-step size, step size in distributed-order variable, respectively. Numerical examples are presented to show the effectiveness and the accuracy of the numerical scheme.
      PubDate: 2017-07-27
      DOI: 10.1007/s40840-017-0525-5
  • The Total Eccentricity Sum of Non-adjacent Vertex Pairs in Graphs
    • Authors: Hongbo Hua; Zhengke Miao
      Abstract: Abstract Classical topological indices, such as Zagreb indices ( \(M_{1}\) and \(M_2\) ) and the well-studied eccentric connectivity index ( \(\xi ^{c}\) ) directly or indirectly consider the total contribution of all edges in a graph. By considering the total degree sum of all non-adjacent vertex pairs in a graph, Ashrafi et al. (Discrete Appl Math 158:1571–1578, 2010) proposed two new Zagreb-type indices, namely the first Zagreb coindex ( \(\overline{M}_{1}\) ) and second Zagreb coindex ( \(\overline{M}_{2}\) ), respectively. Motivated by Ashrafi et al., we consider the total eccentricity sum of all non-adjacent vertex pairs, which we call the eccentric connectivity coindex ( \(\overline{\xi }^{c}\) ), of a connected graph. In this paper, we study the extremal problems of \(\overline{\xi }^{c}\) for connected graphs of given order, connected graphs of given order and size, and the trees, unicyclic graphs, bipartite graphs containing cycles and triangle-free graphs of given order, respectively. Additionally, we establish various lower bounds for \(\overline{\xi }^{c}\) in terms of several other graph parameters.
      PubDate: 2017-07-27
      DOI: 10.1007/s40840-017-0528-2
  • Combinatorial Results for Semigroups of Order-Preserving and A -Decreasing
           Finite Transformations
    • Authors: Leyla Bugay; Melek Yağcı; Hayrullah Ayık
      Abstract: Abstract For \(n\in \mathbb {N}\) , let \(O_{n}\) be the semigroup of all order-preserving transformations on the finite chain \(X_{n}=\{1,\ldots ,n\}\) , under its natural order. For any non-empty subset A of \(X_{n}\) , let \(O_{n}(A)\) and \(O_{n}^+(A)\) be the subsemigroups of all order-preserving and A-decreasing, and of all order-preserving and A-increasing transformations on \(X_{n}\) , respectively. In this paper we obtain formulae for the number of elements and for the number of idempotents in \(O_{n}(A)\) . Moreover, we show that \(O_{n}(A)\) contains a zero element if and only if \(1\in A\) , and then we obtain the number of nilpotents in \(O_{n}(A)\) when \(1\in A\) .
      PubDate: 2017-07-26
      DOI: 10.1007/s40840-017-0529-1
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