Uniform stability of integro-differential inequalities with nonlinear control inputs and delay

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

2 Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq

Abstract

In this paper, the uniform stability for the solution of integro-differential inequalities, with nonlinear control inputs and delay functions, is investigated by using some inequality estimator conditions. Moreover, we apply the obtained results on the solutions of some proposed classes of integro-differential inequalities with nonlinear control input functions as problem formulations examples. The results show that the stability technique used in this work is efficient and robust and it can be applied to a general class and various types of integro-differential inequalities.

Keywords