POSITIVE SOLUTION TO FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN

被引：1

作者：

蔡果兰 ^{[1
]}

葛渭高 ^{[2
]}

机构：

[1] Department of Mathematics,Central University for Nationalities,Beijing ,China Department of Mathematics,Beijing Institute of Technology,Beijing ,China

[2] Department of Mathematics,Beijing Institute of Technology,Beijing

来源：

数学物理学报 | 2006年 / S1期

关键词：

Impulsive differential equation; BVP; P-Laplacian; Variable transform;

D O I：

暂无

中图分类号：

O175.2 [偏微分方程];

学科分类号：

摘要：

<正>In order to study three-point BVPs for fourth-order impulsive differential equation of the form with the following boundary conditions u'(0) = u(1) = 0. u"(0) == 0 = u"(1) -φq(α)u"(η). the authors translate the fourth-order impulsive differential equations with p-Laplacian (*) into three-point BVPs for second-order differential equation without impulses and two-point BVPs for second-order impulsive differential equation by a variable transform. Based on it, existence theorems of positive solutions for the boundary value problems (*) are obtained.

引用

页码：1077 / 1082

页数：6