A THIRD ORDER NONLOCAL BOUNDARY VALUE PROBLEM AT RESONANCE

被引：0

作者：

Kaufmann, Eric R. ^{[1
]}

机构：

[1] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2009年

关键词：

Coincidence degree theory; nonlocal boundary value problem; resonance; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; SOLVABILITY; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the third-order nonlocal boundary value problem u'''(t) = f(t, u(t)), a.e. in (0, 1), u(0) = 0, u'(rho) = 0, u ''(1) = lambda[u ''], where 0 < rho < 1, the nonlinear term f satisfies Caratheodory conditions with respect to L(1)[0, T], lambda[v] = integral(1)(0)v(t)d Lambda(t), and the functional lambda satisfies the resonance condition lambda[1] = 1. The existence of a solution is established via Mawhin's coincidence degree theory.

引用

页数：11

共 18 条

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