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.
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页码：77 / +
页数：2
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