Existence of generalized solutions for ordinary differential equations in Banach spaces

DOI10.1016/0022-247X(87)90192-2zbMath0666.34068OpenAlexW2083290717MaRDI QIDQ1117087

Zai-Feng Song

Publication date: 1987

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(87)90192-2

zbMATH Keywords

Carathéodory function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items

Nonconvex-valued differential inclusions in a separable Hilbert space ⋮ Mild solutions of evolution equations and measures of noncompactness

Cites Work

• Monotone iterative technique for differential equations in a Banach space
• On the Cauchy problem for ordinary differential equations in Banach spaces
• Solutions of differential equations in B-spaces
• Sample solutions of stochastic ordinary differential equations^∗
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
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