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Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Faouzi Haddouchi, Nourredine Houari
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Positive solutions of 2nth-order ordinary differential equations with multi-point boundary conditions

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sihua Liang, Jihui Zhang 0001
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A multi-point boundary value problem with two critical conditions

Nonlinear Analysis: Theory, Methods & Applications, 2006
A coincidence degree theorem due to Mawhin is applied to show the existence of a solution to the multipoint boundary value problem for the nonlinear second-order equation \[ u''=f(t,u,u') , \qquad t \in (0,1)\,, \] \[ u'(0)= u'(\eta)\,, \qquad u(1)=\sum^{n}_{i=1}\alpha_{i} u(\eta_{i})\,, \] where \(\,0< \eta \leq 1,\, \sum^{n}_{i=1}\alpha_{i}=\sum^{n}_{
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A new error evaluation for singularly perturbed problem with multi-point boundary condition

2020
Summary: 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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Linear Sturm–Liouville problems with general homogeneous linear multi‐point boundary conditions

Mathematische Nachrichten, 2016
In this paper, we study second order linear Sturm–Liouville problems involving one or two homogeneous linear multi‐point boundary conditions in the most general form. We obtain conditions for the existence of a sequence of positive eigenvalues with consecutive zero counts of the eigenfunctions.
Kong, Qingkai, St. George, Thomas E.
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On a \(k\)-dimensional system of hybrid fractional differential equations with multi-point boundary conditions

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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Bi-singular type of a fractional-order multi-points boundary value condition problem

2021
Summary: 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, 2001
Elliptic 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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On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions

Lobachevskii Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Houas, M., Dahmani, Z.
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Positive solutions for a system of difference equations with coupled multi-point boundary conditions

Journal of Difference Equations and Applications, 2015
We 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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