Peano's theorem in an infinite-dimensional Hilbert space is false even in a weakened formulation

DOI10.1007/BF01438383zbMath0297.34056MaRDI QIDQ1214035

A. N. Godunov

Publication date: 1974

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

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential equations in abstract spaces (34G99)

Related Items

Deterministic and stochastic differential equations in infinite- dimensional spaces, On Peano's theorem in Banach spaces, On a Cauchy problem in Banach spaces, Measure solutions for impulsive evolution equations with measurable vector fields, Some problems on ordinary differential equations in Banach spaces, ON THE SOLVABILITY OF HAMILTON'S EQUATIONS IN HILBERT SPACES, Measure solutions for evolution equations with discontinuous vector fields and their optimal control

Cites Work

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