Cauchy-Kovalevskaya theory for nonlinear equations with deviating variables

DOI10.1016/S0362-546X(99)00437-XzbMath0989.35132OpenAlexW2093450861MaRDI QIDQ5945991

Antoni Augustynowicz, Wolfgang Walter, Henryk Leszczyński

Publication date: 28 July 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00437-x

zbMATH Keywords

delayanalytic solutionCauchy-Kovalevskaya theoremNagumo lemma

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Cauchy-Kovalevskaya theorems (35A10)

Related Items

On the summability of formal solutions of nonlinear partial differential equations with shrinkings ⋮ On the Cauchy problem for linear PDEs with retarded arguments at derivatives ⋮ A Cauchy-Kovalevskaja type theory in the Gevrey class for PDEs with shrinkings ⋮ Vector-valued measures of noncompactness and the Cauchy problem with delay in a scale of Banach spaces

Cites Work

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• Functional differential equations of the Cauchy-Kowalevsky type
• Cauchy-Kovalevskaya theory for equations with deviating variables
• Cauchy-Kovalevskaya theorems for a class of differential equations with delays at the derivatives
• On \(x\)-analytic solutions to the Cauchy problem for partial differential equations with retarded variables
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• A Cauchy-kovalevskaja Type Theorem in The Gevrey Class with A Vector-Valued Time Variable
• Existence theorems for strongly coupled systems of partial differential equations over Bernstein classes

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