Results 11 to 20 of about 3,563,526 (277)
In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
doaj +2 more sources
Sturm‐Liouville problem for stationary differential operator with nonlocal integral boundary condition [PDF]
The Sturm‐Liouville problem with various types of nonlocal integral boundary conditions is considered in this paper. In the first part of paper we investigate Sturm‐Liouville problem with two cases of nonlocal integral boundary conditions.
S. Pečiulyte +2 more
doaj +2 more sources
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
core +9 more sources
Nonlocal problems for hyperbolic equations with degenerate integral conditions
In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
doaj +1 more source
Young measures in a nonlocal phase transition problem [PDF]
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
core +7 more sources
On some problems with nonlocal integral condition
We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj +1 more source
Distribution of the critical and other points in boundary problems with nonlocal boundary condition
In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary condition is investigated. There are critical points of the characteristic function analysed.
Sigita Pečiulytė, Artūras Štikonas
doaj +1 more source
On nonlinear spectra for some nonlocal boundary value problems
We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones.
Natalija Sergejeva
doaj +3 more sources
Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 more
doaj +1 more source
An eigenvalue problem for the differential operator with an integral condition
We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral ...
Kristina Jakubėlienė
doaj +1 more source

