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Аналог задачи Бицадзе-Самарского для одного класса уравнений параболо-гиперболического типа второго рода

Аналог задачи Бицадзе-Самарского для одного класса уравнений параболо-гиперболического типа второго рода

Abstract

В данной статье доказана однозначная разрешимость задачи типа задачи Бицадзе-Самарского для вырождающегося уравнения параболо-гиперболического типа второго рода, в случае, когда на первой и второй части характеристики задаётся краевое условие типа условия Бицадзе-Самарского.

In this work we prove the unique solvability a Bitsadze-Samarskii type problem for a degenerate parabolic-hyperbolic equation of second kind, when on the first and second part of characteristics Bitsadze-Samarskii condition is imposed.

Keywords

ВЫРОЖДАЮЩИЕСЯ УРАВНЕНИЯ, КРАЕВАЯ ЗАДАЧА, УРАВНЕНИЕ ВТОРОГО РОДА, УСЛОВИЕ ТИПА БИЦАДЗЕ-САМАРСКОГО, СУЩЕСТВОВАНИЕ И ЕДИНСТВЕННОСТЬ РЕШЕНИЯ ЗАДАЧИ, ПРИНЦИП ЭКСТРЕМУМА, ИНТЕГРАЛЬНОЕ УРАВНЕНИЕ ФРЕДГОЛЬМА

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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
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