On the equation x(t) = F(t, x(t)) in the Sobolev space $H^1(R)$

DOI10.4064/AP-53-1-29-34zbMATH Open0739.34004OpenAlexW757695122MaRDI QIDQ4713387

Piotr Fijałkowski

Publication date: 25 June 1992

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-53-1-29-34

zbMATH Keywords

Sobolev spaceexistencecompactnessLeray-Schauder degree theorysecond order nonlinear differential equationa-priori bound

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)

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