On existence theorems for differential equations in Banach spaces

DOI10.1017/S0004972700009734zbMath0569.34053MaRDI QIDQ3687055

Józef Banaś

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spaceKamke function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (9)

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces ⋮ Schauder-Tychonoff fixed-point theorem in theory of superconductivity ⋮ Mild solutions of semilinear evolution equation on an unbounded interval and their applications ⋮ Compactness conditions in the study of functional, differential, and integral equations ⋮ Existence of mild solutions for semilinear nonlocal Cauchy problems in separable Banach spaces ⋮ On the existence and asymptotic behaviour of solutions of an evolution equation and an application to the Feynman-Kac theorem ⋮ Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval ⋮ Mild solutions of evolution equations and measures of noncompactness ⋮ On the Existence of Solutions of Ordinary Differential Equations in Banach Spaces

Cites Work

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