Point initial value problem for linear functional differential equations in Banach spaces

DOI10.1007/BF02227450zbMath0728.34070OpenAlexW2055311966MaRDI QIDQ804802

Piotr Rapp

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/137402

zbMATH Keywords

existence and uniquenessfunctional-differential equationsexponential growth conditions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05)

Cites Work

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• Theory of functional differential equations. 2nd ed
• Existence, uniqueness and continuous dependence on the parameter of solutions of a system of differential equations with deviating argument
• On Ryabov’s Asymptotic Characteization of the Solutions of Quasi-Linear Differential Equations with Small Delays
• On the Functional Equation dy/dx = f(x, y(x), y(x + h)), h > 0