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Title of Article

ASYMPTOTIC INTEGRATION OF ONE CLASS OF FUNCTIONAL DIFFERENTIAL SYSTEMS


Issue
1
Date
2013

Section
MATEMATICS

Article type
scientific article
UDC
517.929
Pages
137-145
Keywords
asymptotic integration, functional differential equations, method of averaging, Levinson's theorem, oscillatory decreasing coefficients.


Authors
Nesterov Pavel Nikolaevich
Yaroslavskiy gosuniversitet im. P.G. Demidova


Abstract
We use the method of averaging and the extension of the Levinson asymptotic theorem to study the problem of asymptotic integration of a class of linear functional differential systems that contain oscillatory decreasing coefficients.

File (in Russian)