Author(s)

Ran Huo¹, Xiaoli Wang^2*

¹College of Science, Inner Mongolia Agricultural University, Huhhot, China.
²College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China.

This article first gives a new class of integral inequalities. Then, as an application, the nonlinear neutral differential system with multiple delays is considered, and the trivial solution of the nonlinear neutral system with multiple delays is obtained. Uniform asymptotic Lipschitz stability. Obviously, the above system is a generalization of the traditional differential system. The purpose of this paper is to study the dual stability of neutral differential equations with delays, including equal asymptotically Lipschitz stability and uniformly asymptotic Lipschitz stability. The author uses the method of integral inequality to establish a double stability criterion. As a result, the local stability of differential equations is widely used in theory and practice, such as dynamic systems and control systems.

Nonlinear Neutral Systems, Double Stability, Lipschitz Asymptotic Stability, Integral Inequality

Huo, R. and Wang, X. (2020) Partial Variable Stability for a Class of Nonlinear Systems with Time Delay. Applied Mathematics, 11, 377-388. doi: 10.4236/am.2020.115027.