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  Subjects -> MATHEMATICS (Total: 1021 journals)
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MATHEMATICS (757 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 3)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 7)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 9)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal  
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access  
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription  
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 14)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 10)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 3)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 18)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Open Access   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 3)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 1)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 4)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 1)
Matrix Science Mathematic     Open Access  
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 3)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access  
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)
North-Holland Mathematics Studies     Full-text available via subscription  
North-Holland Series in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 1)
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 4)
Numeracy : Advancing Education in Quantitative Literacy     Open Access  
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 2)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 4)
Numerical Mathematics : Theory, Methods and Applications     Full-text available via subscription  
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 5)
Open Journal of Modelling and Simulation     Open Access   (Followers: 1)
Open Mathematics     Open Access   (Followers: 1)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 7)
Opuscula Mathematica     Open Access   (Followers: 108)
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free   (Followers: 1)
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Perspectivas da Educação Matemática     Open Access  
Petroleum Science     Full-text available via subscription   (Followers: 1)
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Prague Bulletin of Mathematical Linguistics, The     Open Access  
Press Start     Open Access  
Prime Number     Full-text available via subscription  
PRIMS     Full-text available via subscription  
Probability in the Engineering and Informational Sciences     Hybrid Journal   (Followers: 1)
Problemy Peredachi Informatsii     Full-text available via subscription  
Proceedings - Mathematical Sciences     Open Access   (Followers: 5)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 1)
Proceedings of the Edinburgh Mathematical Society     Hybrid Journal  
Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics     Hybrid Journal   (Followers: 2)
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact and Applied Sciences     Open Access  

  First | 1 2 3 4     

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Journal Cover
Proceedings - Mathematical Sciences
Journal Prestige (SJR): 0.252
Number of Followers: 5  

  This is an Open Access Journal Open Access journal
ISSN (Print) 0253-4142 - ISSN (Online) 0973-7685
Published by Springer-Verlag Homepage  [2351 journals]
  • Automorphisms of relative Quot schemes

    • Abstract: Let \(X\rightarrow S\) be a smooth family of projective curves over an algebraically closed field k of characteristic zero. Assume that both X and S are smooth projective varieties and let E be a vector bundle of rank r over X and \(\mathbb {P}(E)\) be its projectivization. Fix \(d\ge 1\) . Let \(\mathcal {Q}(E,d)\) be the relative quot scheme of torsion quotients of E of degree d. Then we show that if \(r\ge 3\) , then the identity component of the group of automorphisms of \(\mathcal {Q}(E,d)\) over S is isomorphic to the identity component of the group of automorphisms of \(\mathbb {P}(E)\) over S. We also show that under additional hypotheses, the same statement is true in the case when \(r=2\) . As a corollary, the identity component of the automorphism group of flag scheme of filtrations of torsion quotients of \(\mathcal {O}^{r}_{C}\) , where \(r\ge 3\) and C a smooth projective curve of genus \(\ge 2\) is computed.
      PubDate: 2019-08-22
  • Sparse subsets of the natural numbers and Euler’s totient function

    • Abstract: In this article, we investigate sparse subsets of the natural numbers and study the sparseness of some sets associated to the Euler’s totient function \(\phi \) via the property of ‘Banach density’. These sets related to the totient function are defined as follows: \(V:=\phi ({\mathbb {N}})\) and \(N_i:=\{N_i(m):m\in V \}\) for \(i = 1, 2, 3,\) where \(N_1(m)=\max \{x\in {\mathbb {N}}:\phi (x)\le m\}\) , \(N_2(m)=\max (\phi ^{-1}(m))\) and \(N_3(m)=\min (\phi ^{-1}(m))\) for \( m\in V\) . Masser and Shiu (Pacific J. Math. 121(2) (1986) 407–426) called the elements of \(N_1\) as ‘sparsely totient numbers’ and constructed an infinite family of these numbers. Here we construct several infinite families of numbers in \(N_2\setminus N_1\) and an infinite family of composite numbers in \(N_3\) . We also study (i) the ratio \(\frac{N_2(m)}{N_3(m)}\) which is linked to the Carmichael’s conjecture, namely, \( \phi ^{-1}(m) \ge 2\) for all \(m\in V\) , and (ii) arithmetic and geometric progressions in \(N_2\) and \(N_3\) . Finally, using the above sets associated to the totient function, we generate an infinite class of subsets of \({\mathbb {N}}\) , each with asymptotic density zero and containing arbitrarily long arithmetic progressions.
      PubDate: 2019-08-16
  • On solutions of the diophantine equation $$\varvec{F_{n}-F_{m}=3^{a}}$$ F
           n - F m = 3 a

    • Abstract: In this paper, we find non-negative (n, m, a) integer solutions of the diophantine equation \(F_{n}-F_{m}=3^{a}\) , where \(F_{n}\) and \(F_{m}\) are Fibonacci numbers. For proving our theorem, we use lower bounds in linear forms.
      PubDate: 2019-08-09
  • Johnson graphs are panconnected

    • Abstract: For any given \(n,m \in \mathbb {N}\) with \( m < n \) , the Johnson graph J(n, m) is defined as the graph whose vertex set is \(V=\{v\mid v\subseteq [n]=\{1,\ldots ,n\}, v =m\}\) , where two vertices v, w are adjacent if and only if \( v\cap w =m-1\) . A graph G of order \(n > 2\) is panconnected if for every two vertices u and v, there is a \(u-v\) path of length l for every integer l with \(d(u,v) \le l \le n-1\) . In this paper, we prove that the Johnson graph J(n, m) is a panconnected graph.
      PubDate: 2019-08-09
  • Evolution equations with fractional Gross Laplacian and Caputo time
           fractional derivative

    • Abstract: In this paper, we consider the evolution equations with fractional Gross Laplacian and generalized Caputo time fractional deravitive in infinite dimensional space of entire functions with growth condition. The convolution between a generalized function related to the Mittag–Leffler function and the initial condition has been given to demonstrate the explicit solutions. Moreover, we prove that the fundamental solution is related to the inverse stable subordinators and the symmetric \(\alpha \) -stable distribution.
      PubDate: 2019-08-09
  • On the numerical solution of nonlinear integral equations on
           non-rectangular domains utilizing thin plate spline collocation method

    • Abstract: This article investigates an approximate scheme to solve nonlinear Fredholm integral equations of the second kind on non-rectangular domains. The integral equations considered in the current paper are considered together with either smooth or weakly singular kernels. The offered method utilizes thin plate splines as a basis in the discrete collocation method. We can regard thin plate splines as a type of the free shape parameter radial basis functions. These basis functions establish an accurate and stable technique to estimate an unknown function by using a set of scattered points on the solution domains. Since the thin plate splines have limited smoothness, the integrals appeared in the scheme cannot be estimated by classical integration rules. Therefore, we introduce a special precise quadrature formula on non-rectangular domains to compute these integrals. The proposed scheme does not require any mesh generations, so it is meshless and does not depend on the domain form. Error analysis is also provided for the method. The performance and convergence of the new approach are tested on four two-dimensional integral equations given on the wing, mushroom, pentagon and fish-like domains.
      PubDate: 2019-08-09
  • On the rational closure of connected closed subgroups of connected simply
           connected nilpotent Lie groups

    • Abstract: Let G be a connected simply connected nilpotent Lie group with discrete uniform subgroup \(\Gamma \) . A connected closed subgroup H of G is called \(\Gamma \) -rational if \(H\cap \Gamma \) is a discrete uniform subgroup of H. For a closed connected subgroup H of G, let \(\mathcal {I}(H, \Gamma )\) denote the identity component of the closure of the subgroup generated by H and \(\Gamma \) . In this paper, we prove that \(\mathcal {I}(H, \Gamma )\) is the smallest normal \(\Gamma \) -rational connected closed subgroup containing H. As an immediate consequence, we obtain that \(\mathcal {I}(H, \Gamma )\) depends only on the commensurability class of \(\Gamma \) . As applications, we give two results. In the first, we determine explicitly the smallest \(\Gamma \) -rational connected closed subgroup containing H. The second is a characterization of ergodicity of nilflow \( (G/\Gamma , H)\) in terms of \(\mathcal {I}(H, \Gamma )\) . Furthermore, a characterization of the irreducible unitary representations of G for which the restriction to \(\Gamma \) remain irreducible is given.
      PubDate: 2019-08-09
  • Non-comaximal graph of ideals of a ring

    • Abstract: Let R be a ring. The non-comaximal graph of R, denoted by NC(R) is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of R and any two distinct vertices I and J are adjacent if and only if \(I+J\ne R\) . The concepts of connectedness, independent set, clique and traversability of NC(R) are discussed.
      PubDate: 2019-08-03
  • Asymptotic series related to Ramanujan’s expansion for the harmonic

    • Abstract: In this paper, we present various asymptotic series for the harmonic number \(H_n=\sum _{k=1}^{n}\frac{1}{k}\) . For example, we give a pair of recurrence relations for determining the constants \(a_\ell \) and \(b_\ell \) such that $$\begin{aligned} H_n\sim \frac{1}{2}\ln \left( 2m+\frac{1}{3}\right) + \gamma +\sum _{\ell =1}^{\infty }\frac{a_\ell }{(2m+b_\ell )^ {2\ell }}\quad \text {as}\ n\rightarrow \infty , \end{aligned}$$ where \(m =\tfrac{1}{2}n(n+1)\) ( \(n\in {\mathbb {N}}:=\{1,2,\ldots \}\) ) is the n-th triangular number and \(\gamma \) is the Euler–Mascheroni constant.
      PubDate: 2019-08-03
  • Traveling salesman problem across well-connected cities and with
           location-dependent edge lengths

    • Abstract: Consider \(n\) nodes \(\{X_i\}_{1 \le i \le n}\) distributed independently across \(N\) cities located in the unit square \(S\) , each according to a certain distribution \(g_N(\cdot )\) . Each city is modelled as an \(r_n \times r_n\) square and \({\mathrm{TSP}}C_n\) denotes the weight of the minimum weighted length cycle containing all the \(n\) nodes, where the edge length between nodes \(X_i\) and \(X_j\) is location-dependent and based on a metric \(d\) that is equivalent to the Euclidean metric. We obtain variance estimates for \({\mathrm{TSP}}C_n\) and prove that if the cities are well-connected in a certain sense, then \({\mathrm{TSP}}C_n\) appropriately centred and scaled converges to zero in probability. We also obtain large deviation type estimates for \({\mathrm{TSP}}C_n\) . Using the proof techniques, we also study results \({\mathrm{TSP}}_n\) of the minimum length cycle in the unconstrained case, when the nodes are independently distributed throughout the unit square \(S\) with location-dependent edge lengths. We obtain variance estimates and convergence in probability for \({\mathrm{TSP}}_n\) appropriately scaled and centred.
      PubDate: 2019-08-03
  • Transversal intersection of monomial ideals

    • Abstract: In this paper, we prove conditions for transversal intersection of monomial ideals and derive a simplicial characterization of this phenomenon.
      PubDate: 2019-08-03
  • A generalization of Grothendieck’s extension Panachées

    • Abstract: We consider an extension problem for exact sequences in an abelian category and provide a criterion under which such a solution, if it exists is unique.
      PubDate: 2019-07-27
  • A least-squares-based weak Galerkin finite element method for elliptic
           interface problems

    • Abstract: This paper concerns the numerical approximation of elliptic interface problems via least-squares-based weak Galerkin (WG) finite element method. This method allows the use of totally discontinuous functions on finite element partitions consisting of arbitrary polygon shape. Further, the method is capable of solving the unknown and the flux simultaneously with optimal order convergence rates.
      PubDate: 2019-07-27
  • BLO estimates for Marcinkiewicz integrals associated with Schrödinger

    • Abstract: Let \(L=-\Delta +V\) be a Schrödinger operator, where \(\Delta \) is the Laplacian operator on \(\mathbb {R}^d,\) while the nonnegative potential V belongs to the reverse Hölder class \(B_q(q\ge 1)\). In this paper, we will show that Marcinkiewicz integrals associated with Schrödinger operator are bounded from \( \mathrm{BMO}_{L}\) to \( \mathrm{BLO}_{L},\) when \(V\in B_d\).
      PubDate: 2019-07-27
  • Fréchet phase space for nonlinear infinite delay equations in Banach

    • Abstract: In this paper, we prove the existence of solutions to nonlinear differential equations with infinite delay in Banach spaces. We construct a Fréchet space and the unique solutions are given by semigroups in this Fréchet space. Applications to partial differential equations with infinite delay are given.
      PubDate: 2019-07-27
  • Equivariant $$\varvec{K}$$K -theory of quasitoric manifolds

    • Abstract: Let \(X(Q,\Lambda )\) be a quasitoric manifold associated to a simple convex polytope Q and characteristic function \(\Lambda \). Let \(T\cong ({S}^1)^n\) denote the compact n-torus acting on \(X=X(Q,\Lambda )\). The main aim of this article is to give a presentation of the T-equivariant K-ring of X, as a Stanley–Reisner ring over \(K^*(pt)\). We also derive the presentation for the ordinary K-ring of X.
      PubDate: 2019-07-27
  • Stable range one on non-zero divisors

    • Abstract: In this paper, almost unit 1-stable range condition for a commutative ring with unity is defined and similar results which are already proved for the weakly unit 1-stable range are proved. Several properties of rings satisfying almost unit 1-stable range are discussed. The characterizations for rings such as presimplifiable semilocal rings and idealization R(M) of a ring R and an R-module M, satisfying almost unit 1-stable range is also given in this paper. Few examples are given to show that almost unit 1-stable range condition is different from other stable range conditions.
      PubDate: 2019-07-27
  • Fractional boundary value problem with $$\varvec{\psi }$$ψ -Caputo
           fractional derivative

    • Abstract: This paper is concerned with a boundary value problem for a nonlinear fractional differential equation involving a general form of Caputo fractional derivative operator with respect to new function \(\psi \). The existence and uniqueness results of solutions are obtained. Our analysis relies on a variety of tools of fractional calculus together with fixed point theorems of Banach and Schaefer. The investigation of the results will be illustrated by providing a suitable example.
      PubDate: 2019-07-27
  • A note on the exponential diophantine equation

    • Abstract: In 2002, Luca and Walsh (J. Number Theory 96 (2002) 152–173) solved the diophantine equation for all pairs (a, b) such that \(2\le a<b\le 100\) with some exceptions. There are sixty nine exceptions. In this paper, we give some new results concerning the equation \((a^{n}-1)(b^{n}-1)=x^{2}\). It is also proved that this equation has no solutions if a, b have opposite parity and \(n>4\) with 2 n. Here, the equation is also solved for the pairs \((a,b)=(2,50),(4,49),(12,45),(13,76),(20,77),(28,49),(45,100)\). Lastly, we show that when b is even, the equation \( (a^{n}-1)(b^{2n}a^{n}-1)=x^{2}\) has no solutions n, x.
      PubDate: 2019-07-27
  • Infinitely many solutions for the stationary fractional $${\varvec{p}}$$p
           -Kirchhoff problems in $$\pmb {\mathbb {R}}^{{\varvec{N}}}$$RN

    • Abstract: In the present paper, we investigate the existence of multiple solutions for the nonhomogeneous fractional p-Kirchhoff equation $$\begin{aligned}&M\left( \iint \limits _{ {\mathbb {R}} ^{2N}}\frac{\left u(x)-u(y)\right ^{p}}{\left x-y\right ^{N+ps}}\mathrm{d}x\mathrm{d}y+\int \limits _{ {\mathbb {R}} ^{N}}V(x)\left u\right ^{p}\mathrm{d}x\right) \\&\quad \times (( -\Delta )_{p}^{s}u+V(x)\left u\right ^{p-2}u) =f(x,u)\text { in } {\mathbb {R}} ^{N}, \end{aligned}$$where \(\left( -\Delta \right) _{p}^{s}\) is the fractional p-Laplacian operator, \(0<s<1<p<\infty \) with \(sp<N\), \(M: {\mathbb {R}} _{0}^{+}\rightarrow {\mathbb {R}} _{0}^{+}\) is a nonnegative, continuous and increasing Kirchhoff function, the nonlinearity \(f: {\mathbb {R}} ^{N}\times {\mathbb {R}} \rightarrow {\mathbb {R}} \) is a Carathéodory function that obeys some conditions which will be stated later and \(V\in C( {\mathbb {R}} ^{N}, {\mathbb {R}} ^{+}) \) is a non-negative potential function. We first establish the Bartsch–Pankov–Wang type compact embedding theorem for the fractional Sobolev spaces. Then multiplicity results are obtained by using the variational method, \((S_{+})\) mapping theory and Krasnoselskii’s genus theory.
      PubDate: 2019-07-27
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
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