Global attractivity in the delay logistic equation with variable parameters

DOI10.1017/S0305004100068833zbMath0708.34069MaRDI QIDQ3490329

Kondalsamy Gopalsamy, Bing Gen Zhang

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

global asymptotic stabilitynonlinear variation of constants formula

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (10)

Uniform stability theorems for delay differential equations with impulses ⋮ Global attractivity in a generalized delay logistic equation ⋮ On the stability of a delay differential population model ⋮ Remark on the paper of Park ⋮ Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations ⋮ On a hyperlogistic delay equation ⋮ Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics ⋮ Lyapunov method for boundedness of solutions of nonlinear impulsive functional-differential equations ⋮ On delay differential equations with impulses ⋮ Asymptotic stability of certain neutral diffferential equations.

Cites Work

• On the nonlinear differential-difference equation \(f'(x)=-\alpha f(x- 1)(1+f(x))\)
• Asymptotic equivalence of nonlinear systems
• Perturbations of nonlinear systems of differential equations. II
• Variation of Parameters for Nonlinear Differential-Difference Equations
• A nonlinear variation-of-constants formula for functional differential equations

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