Contemporary Mathematics
ISSN: 2705-1064 (Print) 2705-1056 (Online) DescriptionContemporary Mathematics is a quarterly peer-reviewed scientific journal. Our ultimate goal is to make the journal an important source for publishing high quality papers related to the development of contemporary mathematics as well as a continuing and evolving source of interesting and relevant problems for researchers.
The scope of this journal includes theoretical, numerical, and experimental studies in all fields of mathematics and the mathematical sciences. A broad spectrum of topics are covered: mathematical theory, pure mathematics, algebra, geometry and topology, complex analysis, differential equations, industrial mathematics, computational mathematics, discrete mathematics, applied mathematics, etc.
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Open Access Article
Maslov Index and Quasi-Symplectic Isomorphisms
by Jin Wu
ABSTRACT: Maslov index is defined as the number of the intersection of a loop of Lagrangian subspaces with a 1-codimensional cycle in the Lagrangian Grassmannian. It is well-known that linear...
Open Access Article
Enriched Pro-Categories and Shapes
by Nikica Uglešić
ABSTRACT: Given a category C and a directed partially ordered set J , a certain category pro J -C on inverse systems in C is constructed such that the ordinary pro-category pro-C is the most...
Open Access Article
On Certain Geometric Operators Between Sobolev Spaces of Sections of Tensor Bundles on Compact Manifolds Equipped with Rough Metrics
by Ali Behzadan, Michael Holst
ABSTRACT: The study of Einstein constraint equations in general relativity naturally leads to considering Riemannian manifolds equipped with nonsmooth metrics. There are several important differential...
Open Access Article
Galerkin Method and Its Residual Correction with Modified Legendre Polynomials
by Md. Nurunnabi Sohel, Md. Shafiqul Islam, Md. Shariful Islam, Md. Kamrujjaman
ABSTRACT: Accuracy and error analysis is one of the significant factors in computational science. This study employs the Galerkin method to solve second order linear or nonlinear Boundary Value Problems...
Open Access Article
Solvability of Higher Order Iterative System with Non-Homogeneous Integral Boundary Conditions
by Sreedhar Namburi, Kanakayya Namana, Rajendra Prasad Kapula
ABSTRACT: The aim of this paper is to establish the existence of positive solutions by determining the eigenvalue intervals of the parameters μ 1 , μ 2 , ..., μ m for the iterative system of nonlinear...
Open Access Article
Minimal Diamond-Saturated Families
by Maria-Romina Ivan
ABSTRACT: For a given fixed poset P we say that a family of subsets of [ n ] is P -saturated if it does not contain an induced copy of P , but whenever we add to it a new set, an induced copy of P...