The Bogoljubov-Krylov averaging principle and the Cauchy problem for ordinary differential equations on the half-line

DOI10.1007/BF01295312zbMath0821.34045OpenAlexW2085396490MaRDI QIDQ1892162

A. Kh. Abdulazizov, Giuseppe Conti, Jürgen Appell, Peter P. Zabreĭko

Publication date: 5 July 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01295312

zbMATH Keywords

Fréchet differentiableBanach spaceaveraging principleimplicit function theoremunique asymptotically stable solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29)

Cites Work

• Perturbation methods, bifurcation theory and computer algebra
• Averaging methods in nonlinear dynamical systems
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