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Existence of solution to some mixed problems for linear differential-algebraic systems of partial differential equations

Авторы: Svinina S.V., Svinin A.K.

Журнал: Russian Mathematics

Том: 63

Номер: 4

Год: 2019

Отчётный год: 2019


Местоположение издательства:


Аннотация: We consider a linear differential-algebraic system of PDEs with special matrix coefficients. Two cases are investigated. In the first one, the system has a small index, and the matrix at unknown vector-function, while the system written in the canonical form, is arbitrary. In the second case, the system has an arbitrary index, while a matrix at the small term is triangular. In both the cases, using the methods of characteristics and successive approximations, we prove the existence of a unique classical solution of mixed problems for the considered differential-algebraic systems of PDEs.

Индексируется WOS: 1

Индексируется Scopus: 1

Индексируется РИНЦ: 0

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