Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

被引：4
作者：
Luo, Yan [1 ]
机构：
[1] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
关键词：
Impulsive semilinear differential inclusions; Nonlinear boundary value; Fixed point theorem; Lower and upper solutions; NONTRIVIAL SOLUTIONS; EQUATIONS;
D O I：
10.1186/s13661-018-1086-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：14
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