On the global existence of unique solutions of differential equations in a Banach space

DOI10.14492/hokmj/1381758491zbMath0417.34098OpenAlexW2044981313MaRDI QIDQ755030

Shigeo Kato

Publication date: 1978

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758491

zbMATH Keywords

initial value problemBanach spacenonlinear differential equations in abstract spaces

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20)

Related Items (4)

Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Some remarks on nonlinear ordinary differential equations in a Banach space ⋮ Nonautonomous differential equations in Banach spaces ⋮ Semilinear equations with dissipative time-dependent domain perturbations

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