Positive Solutions of the Semipositone Neumann Boundary Value Problem

被引：9

作者：

Henderson, Johnny ^{[1
]}

Kosmatov, Nickolai ^{[2
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

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

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2015年 / 20卷 / 05期

关键词：

Neumann boundary conditions; resonance; semipositone; 34B15; 34B18;

D O I：

10.3846/13926292.2015.1087435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the Neumann boundary value problem at resonance u" (t) = f (t,u(t)), 0< t < 1, u'(0) = u' (l) = 0. We assume that the nonlinear term satisfies the inequality f (t, z) alpha(2) z beta(t) >= 0, t E [0,1], z > 0, where fi : [0,1] R+, and a 0. The problem is transformed into a non-resonant positone problem and positive solutions are obtained by means of a Guo Krasnosel'skii fixed point theorem.

引用

页码：578 / 584

页数：7

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