Positive solutions for a nonlinear differential equation on a measure chain

被引：140

作者：

Erbe, L ^{[1
]}

Peterson, A ^{[1
]}

机构：

[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 5-6期

关键词：

measure chains;

D O I：

10.1016/S0895-7177(00)00154-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We are concerned with proving the existence of positive solutions of general two point boundary value problems for the nonlinear equation Lx(t) := -[r(t)x(Delta)(t)](Delta) = f(t,x(t)) We will use fixed point theorems concerning cones in a Banach space. Important results concerning Green's functions for general two point boundary value problems for Lx(t) := -[r(t)x(Delta)(t)](Delta) = 0 will also be given. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：571 / 585

页数：15

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