The existence of multiple positive solutions of p-Laplacian boundary value problems

被引：19

作者：

Yuji, Liu ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China

来源：

MATHEMATICA SLOVACA | 2007年 / 57卷 / 03期

关键词：

one-dimension p-Laplacian; differential equation; nonlocal boundary value problem; positive solution; fixed point theorem;

D O I：

10.2478/s12175-007-0019-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish sufficient conditions to guarantee the existence of at least three or 2n-1 positive solutions of nonlocal boundary value problems consisting of the second-order differential equation with p-Laplacian [phi(p)(x'(t))]' + f(t,x(t)) = 0, t is an element of(0,1), (1) and one of following boundary conditions [GRAPHICS] and [GRAPHICS] Examples are presented to illustrate the main results. (c) 2007 Mathematical Institute Slovak Academy of Sciences.

引用

页码：225 / 242

页数：18

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