THE AVERAGING METHOD FOR WEAKLY NONLINEAR OPERATOR EQUATIONS

DOI10.1070/SM1989V062N01ABEH003237zbMath0672.35029OpenAlexW1990090120MaRDI QIDQ3825423

A. L. Shtaras

Publication date: 1989

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1989v062n01abeh003237

zbMATH Keywords

asymptotic solutionsmall parameterCauchy problemaveraging methodnonlinear perturbation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Higher-order parabolic equations (35K25)

Related Items (3)

The asymptotic theory of semilinear perturbed telegraph equation and its application ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity ⋮ Simply improved averaging for coupled oscillators and weakly nonlinear waves

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