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Tbilisi Mathematical Journal

Editor-in-Chief: Inassaridze, Hvedri

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A Nonlinear Nonautonomous Delay Differential Inequality for Dissipativity of Lotka-Volterra Functional Differential Equations

Liguang Xu
  • Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, PR China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Danhua He
Published Online: 2014-09-29 | DOI: https://doi.org/10.2478/tmj-2014-0004


In this paper, a Lotka-Volterra functional differential equation is considered. By establishing a nonlinear nonautonomous delay differential inequality and using a generalized Barbˇlat's lemma, we obtain some new sufficient conditions ensuring the dissipativity of the Lotka-Volterra functional differential equation.

MSC: 34K38; 34K25

Keywords: Lotka-Volterra functional differential equations; Nonlinear delay differential inequality; Dissipativity; Generalized Barbˇlat's lemma


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About the article

Received: 2012-08-03

Accepted: 2014-07-15

Published Online: 2014-09-29

The work is supported by National Natural Science Foundation of China (Grant No. 11101367) and the China Scholarship Council (Grant No. 201208330001).

Citation Information: Tbilisi Mathematical Journal, Volume 7, Issue 1, ISSN (Online) 1512-0139, DOI: https://doi.org/10.2478/tmj-2014-0004.

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© 2014 Liguang Xu and Danhua He. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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