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Evaluation of the Index and Singular Points of Linear Differential-Algebraic Equations of Higher Order

Авторы: Chistyakov V.F., Chistyakova E.V.

Журнал: Journal of Mathematical Sciences (United States)

Том: 231

Номер: 6

Год: 2018

Отчётный год: 2018


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Аннотация: We study linear systems of ordinary differential equations of higher order with an identically singular matrix at the higher derivative of the required vector-valued function in the domain of definition. We give definitions of the index and singular points for these systems, formulate the conditions of solvability, and deduce a formula for the general solution. The algorithms for finding the index and singular points are presented.

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