This article is cited in 1 paper

Asymptotic behavior of solutions to a Cauchy problem with a turning point in the case of change of stability

E. A. Tursunov

Osh State University

Abstract: We prove the existence of solutions to a perturbed Cauchy problem on an infinite interval and obtain asymptotic estimates of the proximity of solutions to the perturbed and nonperturbed problems on an infinite interval containing an unstable interval.

Keywords: singularly perturbed Cauchy problem, asymptotic stability, asymptotics, small parameter, turning point, unstable interval.

UDC: 517.928

MSC: 34E20

 English version: Journal of Mathematical Sciences (New York), 2021, 254:6, 808–810

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