Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

Abstract 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 uppe...

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Bibliographic Details
Main Author: Yan Luo
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1086-8