EXISTENCE OF EXTREME SOLUTION TO FIRST-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

被引:0
作者
Huantao Zhu(Hunan College of Information
机构
关键词
impulsive differential equation; monotone iterative technique; boundary value problems;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
This paper is concerned with the existence of extreme solutions to three-point boundary value problems with nonlinear boundary conditions for a class of first order impulsive differential equations. We obtain suficient conditions for the existence of extreme solutions by the upper and lower solutions method coupled with a monotone iterative technique.
引用
收藏
页码:119 / 126
页数:8
相关论文
共 4 条
  • [1] 脉冲微分方程非线性边值问题
    许静
    葛渭高
    [J]. 应用数学, 2001, (04) : 116 - 120
  • [2] Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions[J] . M Benchohra.Computers and Mathematics with Applications . 2004 (6)
  • [3] First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions
    Franco, D
    Nieto, JJ
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (02) : 163 - 173
  • [4] A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions[J] . Alberto Cabada,Rodrigo L. Pouso,Eduardo Liz.Applied Mathematics and Computation . 2000 (2)