FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 33-48

Construction of asymptotic solutions of the autoresonance problem. Inner decomposition

R. N. Garifullin

Abstract

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The problem of autoresonance arising is investigated. Using the multi-scale method, we construct an asymptotic solution of this problem in the domain t << ε-1.

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