On global continuability of solutions of infinite-dimensional ordinary differential equations

DOI10.1080/00036810701864415zbMath1153.34033OpenAlexW2092429362MaRDI QIDQ5457918

Anatoly Sinelnikov, Yuri E. Gliklikh

Publication date: 10 April 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701864415

zbMATH Keywords

ordinary differential equationBanach spaceinfinite-dimensional manifold

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) Calculus on manifolds; nonlinear operators (58C99)

Cites Work

• Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations
• Groups of diffeomorphisms and the motion of an incompressible fluid
• A remark on the regularity of solutions of the Euler equation in hydrodynamics
• Unnamed Item

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