A new approach to the method of nonlinear variation of parameters for a perturbed nonlinear neutral functional differential equation

DOI10.1016/0022-247X(89)90319-3zbMath0669.34065OpenAlexW2087068210WikidataQ115364508 ScholiaQ115364508MaRDI QIDQ1118747

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90319-3

zbMATH Keywords

application

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Cites Work

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• A nonlinear variation of constants method for integro differential and integral equations
• A new approach to the method of nonlinear variation of parameters
• An extension of the Alekseev variation of constant formula for neutral nonlinear perturbed equation with an application to the relative asymptotic equivalence
• Perturbations of nonlinear systems of differential equations. II
• Relationships among the solutions of two systems of ordinary differential equations
• Uniform stability of perturbed non-linear systems of differential equations with time delay
• The Method of Non-linear Variation of Constants for Difference 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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