Results 51 to 60 of about 77,285 (214)

Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions

Journal of Mathematical Analysis and Applications, 1995
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
openaire   +2 more sources

Chebyshev iteration for the problem with nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2004
We considered Poisson differential equation with Dirichlet boundary conditions and one nonlocal boundary condition. Finite-difference scheme was investigated for this problem.
Mifodijus Sapagovas, Artūras Štikonas, Olga Štikonienė   +2 more
doaj   +3 more sources

Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition

Mathematical Modelling and Analysis
The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this
Kristina Bingelė, Artūras Štikonas
doaj   +1 more source

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

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   +1 more source

Investigation of Negative Critical Points of the Characteristic Function for Problems with Nonlocal Boundary Conditions

Nonlinear Analysis, 2008
In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė, O. Štikonienė, A. Štikonas   +2 more
doaj   +1 more source

On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

, 2017
In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
core   +1 more source

Identification hyperbolic problems with nonlocal conditions

AIP Conference Proceedings, 2018
In the present study, a identification problem with nonlocal conditions for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. Furthermore, a first order of accuracy difference scheme for the numerical solution of the identification hyperbolic equations problems ...
Ashyralyev A., Emharab F.
openaire   +4 more sources

Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

Advances in Difference Equations, 2020
The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space.
A. Anguraj, K. Ravikumar, Dumitru Baleanu   +2 more
doaj   +1 more source

Existence of Ground States of Nonlocal-Interaction Energies

, 2015
We investigate which nonlocal-interaction energies have a ground state (global minimizer). We consider this question over the space of probability measures and establish a sharp condition for the existence of ground states. We show that this condition is
Simione, Robert, Slepčev, Dejan, Topaloglu, Ihsan   +2 more
core   +2 more sources

Positivity of a differential operator with nonlocal conditions

AIP Conference Proceedings, 2015
In the present paper, the positivity of the differential operator with nonlocal boundary conditions is established. The structure of fractional spaces is investigated. In applications, we will obtain new coercive inequalities for the solution of local and nonlocal boundary value problems for parabolic equations.
Nese Nalbant, Allaberen Ashyralyev
openaire   +4 more sources