Functional differential equations of the Cauchy-Kowalevsky type

DOI10.1007/BF02189398zbMath0576.35003OpenAlexW2090522301MaRDI QIDQ1065243

Wolfgang Walter

Publication date: 1985

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137045

zbMATH Keywords

existenceuniquenessCauchy problemcontraction principlefunctional differential equationsCauchy-Kowalevsky theorem

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Cauchy-Kovalevskaya theorems (35A10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Mixed functional-differential equations ⋮ On \(x\)-analytic solutions to the Cauchy problem for partial differential equations with retarded variables ⋮ Cauchy-Kovalevskaya theory for nonlinear equations with deviating variables ⋮ Hyperbolic functional-differential equations with unbounded delay

Cites Work

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• Über Funktional-Differentialgleichungen mit voreilendem Argument
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• Existence theorems for strongly coupled systems of partial differential equations over Bernstein classes

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