An extension of the Alekseev variation of constant formula for neutral nonlinear perturbed equation with an application to the relative asymptotic equivalence

DOI10.1016/0022-247X(87)90341-6zbMath0615.34069MaRDI QIDQ1820917

Yanyan Li

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

perturbationsnonlinear neutral functional differential equationsAlekseev-type variation of constants formula

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (2)

Nonlinear variation of constants formula for differential equations with state-dependent delays ⋮ A new approach to the method of nonlinear variation of parameters for a perturbed nonlinear neutral functional differential equation

Cites Work

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• Asymptotic equivalence of linear functional differential equations
• Perturbations of nonlinear systems of differential equations. II
• Fixed point theorems and dissipative processes
• Functional diferential inequalities
• Asymptotic Behavior of Perturbed Autonomous Linear Functional Differential Equations
• A class of functional equations of neutral type
• A nonlinear variation-of-constants formula for functional differential equations
• Perturbations of nonlinear systems of differential equations

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