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A new error evaluation for singularly perturbed problem with multi-point boundary condition
2020Summary: We consider finite difference method to find best approximation of nonlinear singularly perturbed problem which contains multi-point boundary conditions. We surveyed the asymptotic estimates of the corresponding problem that needs to be solved with maximum principle. We constructed a finite difference scheme by using Bakhvalov mesh.
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2021
Summary: The fractional Sturm-Liouville fraction equations have considerable role applications in some different phenomena such as mechanical and electrical engineering, medicine and physics. Thus, it is better we review different versions of this equation. We study a \(k\)-dimensional system of Sturm-Liouville hybrid equations \(y\) using the \(\alpha\
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Summary: The fractional Sturm-Liouville fraction equations have considerable role applications in some different phenomena such as mechanical and electrical engineering, medicine and physics. Thus, it is better we review different versions of this equation. We study a \(k\)-dimensional system of Sturm-Liouville hybrid equations \(y\) using the \(\alpha\
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Bi-singular type of a fractional-order multi-points boundary value condition problem
2021Summary: Various fractional differential equations have been examined during the last decades. Among them, singular equations are more notable. In this article, by using control functions, the existence of a solution for a bi-singular fractional differential equation with multi-point initial value conditions is considered.
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Essential boundary conditions and multi-point constraints in finite element analysis
Computer Methods in Applied Mechanics and Engineering, 2001Elliptic problems with nonstandard boundary conditions are treated as variational problems with restrictions \[ \text{ minimize } \tfrac 12 x^T Sx-f^T x\quad \text{subject to } Cx=g. \] The saddle point equations \(Sx+C^T \lambda =f, ~Cx=g\) and their solvability are discussed from the algebraic viewpoint, i.e., \(g\in \text{Range}(C)\), \(\text{Ker ...
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Lobachevskii Journal of Mathematics, 2016
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Houas, M., Dahmani, Z.
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Houas, M., Dahmani, Z.
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International Journal of Applied and Computational Mathematics, 2020
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Gauhar Ali, Kamal Shah, Ghaus ur Rahman
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Gauhar Ali, Kamal Shah, Ghaus ur Rahman
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ANNALI DELL'UNIVERSITA' DI FERRARA, 2012
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Nyamoradi, Nemat, Bashiri, Tahereh
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Nyamoradi, Nemat, Bashiri, Tahereh
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Positive solutions for a system of difference equations with coupled multi-point boundary conditions
Journal of Difference Equations and Applications, 2015We investigate the existence and nonexistence of positive solutions for a system of nonlinear second-order difference equations with parameters subject to coupled multi-point boundary conditions.
Johnny Henderson, Rodica Luca
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Nonlinear Analysis: Theory, Methods & Applications, 2011
The author first investigates the spectral problem of the \(p\)-Laplacian eigenvalue problem \[ -\phi_p(u')'(x)=\lambda\phi_p(u)(x ...
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The author first investigates the spectral problem of the \(p\)-Laplacian eigenvalue problem \[ -\phi_p(u')'(x)=\lambda\phi_p(u)(x ...
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Self-adjointness of Higher-Order Differential Operators with Multi-point Boundary Conditions
Acta Analysis Functionalis Applicata, 2012his paper discusses the self-adjointness of high-order differential operators with finite boundary conditions.Based on constructing a new Hilbert space associated with the problem,defining maximal and minimal operators related to conjunction property in finite boundary conditions given, obtain the necessary and sufficient conditions of adjointness of ...
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