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Известия Иркутского государственного университета: Серия "Математика"
Article . 2010
Data sources: CyberLeninka - Russian open access scientific library
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Нелинейные операторные уравнения с функциональными возмущениями аргумента нейтрального типа

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего образования «Иркутский государственный университет»Journal:Известия Иркутского государственного университета. Серия: Математика (issn: 1997-7670, Copyright policy )

Нелинейные операторные уравнения с функциональными возмущениями аргумента нейтрального типа

Abstract

Строятся малые решения x(t) ^ 0 при t ^ 0 уравнений с функциональными возмущениями аргумента. Методом диаграмм Ньютона нелинейное уравнение с ФВА сводится к нескольким квазилинейным уравнениям с ФВА. Решение строится в классе непрерывных функций, обладающих логарифмо-степенной асимптотикой.

Local solution of equation with functionaly modified argument is found. Method of Neuton"s diagramm is used to consider the nonlinear operator equation with functionaly modified argument. The local solution is built in a class of continious function with logariphmic asymptoty.

Keywords

ФУНКЦИОНАЛЬНОЕ ВОЗМУЩЕНИЕ АРГУМЕНТА, НЕЛИНЕЙНЫЕ ОПЕРАТОРНЫЕ УРАВНЕНИЯ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold