Results 1 to 10 of about 51,763 (295)

Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition [PDF]

Abstract and Applied Analysis, 2012
This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang, Jianyun Zhang, Su-Cheol Yi   +2 more
doaj   +2 more sources

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

Boundary Value Problems, 2009
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
doaj   +3 more sources

First order systems of odes with nonlinear nonlocal boundary conditions [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.
Igor Kossowski, Bogdan Przeradzki
doaj   +4 more sources

Nonlocal Operational Calculi for Dunkl Operators [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Ivan H. Dimovski, Valentin Z. Hristov
doaj   +6 more sources

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

Sturm–Liouville problem with two point nonlocal second type boundary condition

Lietuvos Matematikos Rinkinys, 2005
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
doaj   +3 more sources

The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

Alexandria Engineering Journal, 2022
In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
doaj   +1 more source

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

Nonlinear Analysis, 2021
In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions

Mathematics, 2022
In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen, Jian-Hung Shen   +3 more
doaj   +1 more source

Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions

AIMS Mathematics, 2022
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied.
Ahmed M.A. El-Sayed , Eman M.A. Hamdallah , Hameda M. A. Alama   +2 more
doaj   +1 more source