An approach to the conditions for the existence and uniqueness of solutions of ordinary differential equations

DOI10.1007/BF02363928zbMath0878.34008MaRDI QIDQ676813

L. D. Kudryavtsev

Publication date: 4 January 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnonlinear equationboundary-value problemsinitial data at infinity

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) Linear boundary value problems for ordinary differential equations (34B05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Numerical analysis in abstract spaces (65J99)

Cites Work

• On norms in weighted spaces of functions given on infinite intervals
• Variational problems with a different number of boundary conditions
• Criterion of polynomial increase of a function and its derivatives
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