Results 21 to 30 of about 193,645 (277)
Fractal and Fractional, 2022 A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
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, 2021 The aim of this manuscript is to handle the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equations involving a ξ -Hilfer derivative. The used fractional operator is generated by the kernel of the kind k ( ϑ , s
W. Shatanawi +4 more
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Radial solutions for a nonlocal boundary value problem
Boundary Value Problems, 2006 We consider the boundary value problem for the nonlinear Poisson equation with a nonlocal term −Δu=f(u,∫Ug(u)), u|∂U=0. We prove the existence of a positive radial solution when f grows linearly in u, using Krasnoselskiiés fixed ...
Luís Sanchez +1 more
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POSITIVE SOLUTIONS OF NONLOCAL SINGULAR BOUNDARY VALUE PROBLEMS [PDF]
Glasgow Mathematical Journal, 2004 The paper presents the existence result for positive solutions of the differential equation $(g(x))''=f(t,x,(g(x))')$ satisfying the nonlocal boundary conditions $x(0)=x(T)$, $\min\{ x(t): t \in J\}=0$. Here the positive function $f$ satisfies local Carathéodory conditions on $[0,T] \times (0,\infty) \times (\R {\setminus} \{0\})$ and $f$ may be ...
AGARWAL, RAVI P. +2 more
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Weakly nonlocal boundary value problems with application to geology [PDF]
Differential Equations & Applications, 2021 In many cases, groundwater flow in an unconfined aquifer can be simplified to a one-dimensional Sturm-Liouville model of the form: \begin{equation*} x''(t)+ x(t)=h(t)+\varepsilon f(x(t)),\hspace{.1in}t\in(0, ) \end{equation*} subject to non-local boundary conditions \begin{equation*} x(0)=h_1+\varepsilon _1(x)\text{ and } x( )=h_2+\varepsilon _2(x)
Maroncelli, Daniel, Collins, Emma
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On a stochastic nonlocal conservation law in a bounded domain [PDF]
, 2016 In this paper, we are concerned with the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law involving a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov’
Jiang-lun Wu
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Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition [PDF]
Mathematical methods in the applied sciences, 2019 We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition.
A. Gladkov, T. Kavitova
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Some remarks on the duality method for Integro-Differential equations with measure data [PDF]
, 2015 We deal with existence, uniqueness, and regularity for solutions of the boundary value problem $$ \begin{cases} {\mathcal L}^s u = \mu &\quad \text{in $\Omega$}, u(x)=0 \quad &\text{on} \ \ \mathbb{R}^N\backslash\Omega, \end{cases} $$ where $\Omega$ is
Petitta, Francesco
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Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems [PDF]
Journal of Function Spaces, 2021 This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions.
Chanon Promsakon +2 more
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Discrete Dynamics in Nature and Society, 2009 The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
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