A new generalization of Halanay-type inequality and its applications

Abstract

Abstract In this paper, in order to study the dissipativity of nonlinear neutral functional differential equations, a generalization of the Halanay inequality is given. We apply this generalized Halanay inequality to an analysis of the dissipativity of two classes of nonlinear neutral delay integro-differential equations and the sufficient conditions are presented to ensure these systems are dissipative.

Keywords

• Neutral delay integro-differential equations
• Dynamical systems
• Halanay inequality
• Functional differential equations