Upper and Lower Solutions Method for Impulsive Differential Inclusions With Nonlinear Boundary Conditions

Abstract

This paper discusses the antiperiodic and nonlinear boundary problem for first-order impulsive differential inclusions. We establish the existence results by using Martelli's fixed point theorem with upper and lower solutions method.

Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

“…Variational methods and critical point theory plays a major role in discussing the existence of solutions for boundary problem for impulsive differential inclusions; see [1][2][3][4][5][6][7][8][9]. There are many other methods such as in [10][11][12]. In [13], the authors considered periodic boundary conditions g(x, y) = xy, that is, x(0) = x(b).…”