Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones
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Автор:
Яковлева, Татьяна Игоревна
Коллективный автор:
Институт математики и фундаментальной информатики
Кафедра высшей математики № 1
Дата:
2017-03Журнал:
Siberian Mathematical JournalКвартиль журнала в Scopus:
Q2Квартиль журнала в Web of Science:
Q4Библиографическое описание:
Яковлева, Татьяна Игоревна. Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones [Текст] / Татьяна Игоревна Яковлева // Siberian Mathematical Journal. — 2017. — Т. 58 (№ 2). — С. 363-372Аннотация:
The Cauchy problem is studied for a multidimensional difference equation in a class of
functions defined at the integer points of a rational cone. We give an easy-to-check condition on the
coefficients of the characteristic polynomial of the equation sufficient for solvability of the problem.
A multidimensional analog of the condition ensuring stability of the Cauchy problem is stated on using
the notion of amoeba of an algebraic hypersurface.