Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations
Volume 12, Issue 6, pp 363--375
http://dx.doi.org/10.22436/jnsa.012.06.03
Publication Date: January 30, 2019
Submission Date: July 05, 2017
Revision Date: November 23, 2018
Accteptance Date: December 20, 2018
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Authors
Chaolong Zhang
- College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, P. R. China.
Feiqi Deng
- Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, P. R. China.
Haoyi Mo
- School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, P. R. China.
Hongwei Ren
- School of computer and electronic information, Guangdong University of Petrochemical Technology, Maoming 525000, P. R. China.
Abstract
This paper is concerned with the dissipativity and stability of the theoretical
solutions of a class of nonlinear multiple time
delay integro-differential equations. At the first, we give a generalized Halanay inequality which plays an important role
in the study of dissipativity and stability of integro-differential equations. Then, we apply the
generalized Halanay inequality to the dissipativity and the
stability the theoretical solution of delay integro-differential equations
(or by small \(\epsilon\) perturbed) and some interesting results are obtained. Our results generalize a few previous known results.
Finally, two examples are provided to demonstrated the effectiveness and advantage of the theoretical results.
Share and Cite
ISRP Style
Chaolong Zhang, Feiqi Deng, Haoyi Mo, Hongwei Ren, Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 6, 363--375
AMA Style
Zhang Chaolong, Deng Feiqi, Mo Haoyi, Ren Hongwei, Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations. J. Nonlinear Sci. Appl. (2019); 12(6):363--375
Chicago/Turabian Style
Zhang, Chaolong, Deng, Feiqi, Mo, Haoyi, Ren, Hongwei. "Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations." Journal of Nonlinear Sciences and Applications, 12, no. 6 (2019): 363--375
Keywords
- Delay integro-differential equations
- dynamical systems
- Halanay inequality
- dissipativity
- stability
MSC
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