EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR SECOND-ORDER SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

被引：0

作者：

Zhang, Fang ^{[1
]}

Lu, Haihua ^{[2
]}

Wang, Feng ^{[1
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Jiangsu, Peoples R China

[2] Nantong Univ, Dept Math, Nantong 226019, Peoples R China

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Boundary value problem; positive solution; resonance; multiplicity; A-proper; fixed point index; DIFFERENTIAL-EQUATIONS; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the second order self-adjoint boundary value problem at resonance -(p(t)x' (t))' = f(t; x(t)), t is an element of (0, 1), x'(0) = 0, x(1) = integral(1)(0) x(s)g(s)ds. A few new results are given for the existence of at least one, two, three and n positive solutions of the above boundary value problem by using the theory of a fixed point index for A-proper semilinear operators defined on cones, where n is an arbitrary natural number.

引用

页码：669 / 680

页数：12

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