THE SOLVABILITY OF A NONLOCAL BOUNDARY VALUE PROBLEM

被引：3

作者：

Szymanska-Debowska, Katarzyna ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Math, Ul Wolczanska 215, PL-90924 Lodz, Poland

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 05期

关键词：

nonlocal boundary value problem; boundary value problem at resonance; the perturbation method;

D O I：

10.1515/ms-2015-0070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the following boundary value problem (p(t)(x')' = f(t,x,x'), x(0) = 0, x'(1) = integral(1)(0) x'(s) dg(s), where f : [0, 1] x R-k x R-k -> R-k and the integral is meant in the sense of Riemann-Stieltjes. We give conditions for the existence of a solution for this boundary value problem using the properties of the Leray-Schauder topological degree. Our result extends some results in the references. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：1027 / 1034

页数：8

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