A nonlinear nonautonomous delay differential inequality for dissipativity of Lotka-Volterra functional differential equations

DOI10.2478/TMJ-2014-0004zbMath1309.34130OpenAlexW1976660706MaRDI QIDQ482647

Danhua He, Liguang Xu

Publication date: 6 January 2015

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmj-2014-0004

zbMATH Keywords

dissipativitygeneralized Barbǎlat's lemmaLotka-Volterra functional differential equationsnonlinear delay differential inequality

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential inequalities (34K38)

Related Items (1)

A nonlinear version of Halanay's inequality for the uniform convergence to the origin

Cites Work

• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• Dissipativity of \(\theta\)-methods for nonlinear Volterra delay-integro-differential equations
• Dissipativity of linear \(\theta \)-methods for integro-differential equations
• Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations
• NUMERICAL AND ANALYTIC DISSIPATIVITY OF THE θ-METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED VARIABLE LAG
• New Results for Studying a Certain Class of Nonlinear Delay Differential Systems

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