Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

被引：0
|
作者：
Yan Luo
机构：
[1] Hunan University of Science and Technology,School of Mathematics and Computing Science
来源：
Boundary Value Problems | / 2018卷
关键词：
Impulsive semilinear differential inclusions; Nonlinear boundary value; Fixed point theorem; Lower and upper solutions; 34A60; 34A37; 47H10;
D O I：
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摘要：
In this paper, we discuss the nonlinear boundary problem for first-order impulsive semilinear differential inclusions. We establish existence results by using Martelli’s fixed point theorem with upper and lower solutions method. We find that by giving different definitions of lower and upper solutions we can get all existence results. We also present an example.
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