Peano's theorem fails for infinite-dimensional Fréchet spaces

DOI10.1007/BF01085989zbMath0820.47048OpenAlexW2020019707MaRDI QIDQ1335895

Stanislav Shkarin

Publication date: 8 November 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085989

zbMATH Keywords

Peano's theoremnonnormable Fréchet space

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05)

Related Items

ON THE SOLVABILITY OF HAMILTON'S EQUATIONS IN HILBERT SPACES ⋮ Counterexample to Peano's theorem in infinite-dimensional \(F'\)-spaces ⋮ Lineability and spaceability for the weak form of Peano’s theorem and vector-valued sequence spaces

Cites Work

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• On the nonexistence of solutions of differential equations in nonreflexive spaces