Invariance principles and asymptotic constancy of solutions of precompact functional differential equations

DOI10.2748/tmj/1178227655zbMath0725.34081OpenAlexW4234893782MaRDI QIDQ2277634

William E. Hornor

Publication date: 1990

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227655

zbMATH Keywords

asymptotic stabilityLyapunov functionsinvariance principlepopulation dynamicsnonautonomous functional differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (5)

Liapunov-Razumikhin pairs and the location of positive limit sets for precompact functional differential equations with infinite delay ⋮ Development of the direct Lyapunov method for functional-differential equations with infinite delay ⋮ On the principle of reduction for the nonlinear delay systems ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

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• Theory of functional differential equations. 2nd ed
• The limiting equations of nonautonomous ordinary differential equations
• Uniform asymptotic stability via the limiting equations
• Uniformly asymptotic stability and total stability
• The effect of seasonal variations to the delay population equation

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