A new generalization of Halanay-type inequality and its applications

作者：Wen, Haiyang; Shu, Shi; Wen, Liping^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 300.

DOI：10.1186/s13660-018-1894-5

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

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.

• 出版日期2018-11-6
• 单位湘潭大学