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On the uniqueness of the solution of nonlinear differential-algebraic systems

Авторы: Shcheglova A.A.

Журнал: Differential Equations

Том: 46

Номер: 2

Год: 2010

Отчётный год: 2010


Местоположение издательства:


Аннотация: We consider the Cauchy problem for a system of nonlinear ordinary differential equations unsolved for the derivative of the unknown vector function and identically degenerate in the domain. We prove a theorem on the coincidence of two smooth solutions of the considered problem. We show that, under some additional assumptions, the above-mentioned problem cannot have classical solutions with less smoothness. We obtain conditions under which the problem has a fixed finite number of solutions.

Индексируется WOS: 1

Индексируется Scopus: 0

Индексируется РИНЦ: 0

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