This issue is in progress but contains articles that
are final and fully citable.
Enriched Pro-Categories and Shapes
by Uglešić Nikica
Abstract: Given a category C and a directed partially ordered set J, a certain category proJ-C on inverse systems in C is constructed such that the ordinary pro-category pro-C is the most special case of a sing...
Open Access
Research Article
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C¹(Rᴺ) Versus W¹,ᵖ(Rᴺ) Local Minimizers
by Motreanu Dumitru
Abstract: This paper deals with the energy functional associated with a quasilinear elliptic equation in RN which is driven by the p-Laplacian operator. It is shown for such functional that any C1(RN) local mi...
Open Access
Research Article
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Maslov Index and Quasi-Symplectic Isomorphisms
by Wu Jin
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 symplectomorphisms...
Open Access
Research Article
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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 (BVPs) ...
Open Access
Research Article
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Extending the Traub Theory for Solving Nonlinear Equations
by Regmi Samundra, Ioannis K. Argyros,George Santhosh,Argyros Christopher
Abstract: In this paper, we extend the Traub theory for solving nonlinear equation. The extension is based on recurrent functions, the center Lipschitz condition and the notion of the restricted convergence dom...
Open Access
Research Article
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Minimal Diamond-Saturated Families
by Ivan Maria-Romina
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 is form...
Open Access
Research Article
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