Approximation by step functions of functions belonging to Sobolev spaces and uniqueness of solutions of differential equations of the form $ u=F(x,u,u')$

DOI10.1070/IM2007v071n01ABEH002353zbMath1348.41021OpenAlexW2079865004MaRDI QIDQ5445138

T. Yu. Semenova

Publication date: 3 March 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2007v071n01abeh002353

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Best approximation, Chebyshev systems (41A50)

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