A multiplicity result for a boundary value problem with infinitely many singularities

被引：40
|
作者：
Kaufmann, ER [1 ]
Kosmatov, N [1 ]
机构：
[1] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 269卷 / 02期
关键词：
boundary value problem; Green's function; Holder's inequality; multiple solutions;
D O I：
10.1016/S0022-247X(02)00025-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the second order boundary value problem -u" (t) = a(t)f (u(t)), 0 < t < 1, u(0) = u(1) = 0, where a(t) is an element of L-P[0, 1] for some p greater than or equal to 1 and has countably many singularities in [0, 1/2]. We show that there exist countably many positive solutions using Holder's inequality and Krasnosel'skii's fixed point theorem for operators on a cone. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：444 / 453
页数：10
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