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Lyapunov Inequalities for Nabla Caputo Boundary Value Problems [PDF]
Journal of Difference Equations and Applications 2018, 2019 We will establish uniqueness of solutions to boundary value problems involving the nabla Caputo fractional difference under two-point boundary conditions and give an explicit expression for the Green's functions for these problems. Using the Green's functions for specific cases of these boundary value problems, we will then develop Lyapunov ...
arxiv +1 more source
Boundary-value problem with free boundary: zirconium alloy hydrogenation
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016 One of the most important requirements for the reactor’s active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika, Natalia Rodchenkova
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Mixed Boundary Value Problem on Hypersurfaces
International Journal of Differential Equations, 2014 The purpose of the present paper is to investigate the mixed Dirichlet-Neumann boundary value problems for the anisotropic Laplace-Beltrami equation divC(A∇Cφ)=f on a smooth hypersurface C with the boundary Γ=∂C in Rn.
R. DuDuchava, M. Tsaava, T. Tsutsunava
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On one nonlinear integral boundary value problem
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 We give a new approach for the investigation of existence and construction of an approximate solutions of nonlinear non-autonomous systems of ordinary differential equations under nonlinear integral boundary conditions.
Я. В. Варга
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Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems [PDF]
arXiv, 2022 Almost nothing is known about the layer structure of solutions to singularly perturbed Caputo fractional boundary value problems. We discuss simple convection-diffusion and reaction-diffusion problems.
arxiv
On a nabla fractional boundary value problem with general boundary conditions
AIMS Mathematics, 2020 In this article, we consider a nabla fractional boundary value problem with general boundary conditions. Brackins & Peterson [5] gave an explicit expression for the corresponding Green’s function.
Jagan Mohan Jonnalagadda
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Open Boundary Conditions for Nonlinear Initial Boundary Value Problems [PDF]
Journal of Computational Physics 2025We present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It simplifies previous work and its practical implementation.
arxiv +1 more source
Avery fixed point theorem applied to Hammerstein integral equations
Electronic Journal of Differential Equations, 2019 We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation $$ x(t)=\int^{T_2}_{T_1}G(t,s)f(x(s))\,ds, \quad t\in[T_1,T_2].
Paul W. Eloe, Jeffrey T. Neugebauer
doaj
On a Third-Order Three-Point Boundary Value Problem
International Journal of Mathematics and Mathematical Sciences, 2012 We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our
A. Guezane-Lakoud +2 more
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Dirichlet boundary value problem for Duffing's equation
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Piotr Kowalski
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