Positive solutions for quasilinear second order differential equation

被引：0

作者：

Dong, Shijie ^{[1
]}

Gao, Zhifeng ^{[1
]}

Wang, Yunhai ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Peoples R China

来源：

SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 3, PROCEEDINGS | 2007年

关键词：

D O I：

10.1109/SNPD.2007.158

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

It is well known that Krasnosel'skii fixed point theorem is very important. It was extensively used for studying the boundary value problems. In this paper, Krasnosel'skii fixed point theorem is extended. A new fixed point theorem is obtained. The second order quasilinear differential equation (Phi)(y'))' + a(t)f(t, y, y') = 0, 0 < t < 1 subject to Dirichlet boundary condition is studied, where f is a non-negative continuous function, Phi(v) = vertical bar v vertical bar(p-2)v, p > 1. We show the existence of at least one positive solution by using the new fixed point theorem in cone.

引用

页码：77 / +

页数：2

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