摘要
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.
In order to study three-point BVPs for fourth-order impulsive differential equation of the form {（Фp（μ″（t）））″-f（t,u（t））=0,t≠ti, △u（ti）=-Ii（u（ti））,i=1,2,……,k,（＊） △u＇（ti）=-Li（u（ti））, i=1,2,……,k,with the following boundary conditions u＇（0）=u（1）=0,u″（0）=0=u＂（1） -Фq（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.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2006年第B12期1077-1082,共6页
Acta Mathematica Scientia
基金
Supported by the National Natural Foundation of China (10371006)the Youth Teachers Science Projects of Central University for Nationalities (No.A08).
