一类非线性多重时滞积分微分方程的耗散性与稳定性

Journal of Nonlinear Sciences and Applications Pub Date : 2019-01-30 DOI:10.22436/JNSA.012.06.03

Chaolong Zhang, F. Deng, Haoyi Mo, Hongwei Ren

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引用次数: 3

摘要

研究了一类非线性多重时滞积分微分方程理论解的耗散性和稳定性。首先，我们给出了一个在积分微分方程耗散性和稳定性研究中起重要作用的广义Halanay不等式。然后，将广义Halanay不等式应用于时滞积分微分方程(或小扰动)理论解的耗散性和稳定性，得到了一些有趣的结果。我们的结果推广了一些以前已知的结果。最后，通过两个算例验证了理论结果的有效性和优越性。

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Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations

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 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.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.