Krylov-Bogolyubov averaging of asymptotically autonomous differential equations

Samoilenko, Anatoliy; Pinto, Manuel; Trofimchuk, Sergei

doi:10.1090/S0002-9939-04-07520-3

Krylov-Bogolyubov averaging of asymptotically autonomous differential equations
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by Anatoliy Samoilenko, Manuel Pinto and Sergei Trofimchuk PDF

Proc. Amer. Math. Soc. 133 (2005), 145-154 Request permission

Abstract:

We apply the Krylov and Bogolyubov asymptotic integration procedure to asymptotically autonomous systems. First, we consider linear systems with quasi-periodic coefficient matrix multiplied by a scalar factor vanishing at infinity. Next, we study the asymptotically autonomous Van-der-Pol oscillator.

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