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Properties of complete and vector sign frequencies of solutions of linear autonomous differential equationsстатья
- Автор: Stash A.Kh
- Журнал: Differential Equations
- Том: 50
- Номер: 10
- Год издания: 2014
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1413
- Последняя страница: 1417
- DOI: 10.1134/S0012266114100206
- Аннотация: We show that, for any solution of a linear homogeneous autonomous differential equation, its complete and vector sign frequencies are exact and coincide, and the set of values taken by those frequencies consists only of zero if the characteristic polynomial of the equation has at least one real root and of zero and the least, in the absolute value, imaginary part of a root of the characteristic polynomial otherwise. We provide a complete description of the upper and lower regularized sign frequencies of these equations.
- Добавил в систему: Сташ Айдамир Хазретович