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Асимптотика решения задачи Коши для сингулярно возмущенной системы гиперболических уравнений

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования Тульский государственный педагогический университет им. Л.Н. ТолстогоJournal:Чебышевский сборник (issn: 2226-8383, Copyright policy )

Асимптотика решения задачи Коши для сингулярно возмущенной системы гиперболических уравнений

Abstract

Построено полное асимптотическое разложение решения задачи Коши для сингулярно возмущенной гиперболической системы уравнений в критическом случае. Особенностью задачи является наличие членов асимптотики, описывающихся параболическими уравнениями. Доказана теорема о равномерной оценке остаточного члена асимптотического разложения.

Keywords

МАЛЫЙ ПАРАМЕТР,СИНГУЛЯРНЫЕ ВОЗМУЩЕНИЯ,ЗАДАЧА КОШИ,ГИПЕРБОЛИЧЕСКИЕ СИСТЕМЫ УРАВНЕНИЙ,АСИМПТОТИЧЕСКОЕ ПРЕДСТАВЛЕНИЕ РЕШЕНИЙ,ПАРАБОЛИЧЕСКИЙ СЛОЙ

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Powered by OpenAIRE graph
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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