Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.1134/S0037446615010097
Ключевые слова: polynomial difference operator, Cauchy problem, monomial basis for the quotient ring
Аннотация: We find solvability conditions for a Cauchy problem with a polynomial difference operator and, in particular, give an easy-to-check sufficient condition in terms of the coefficients of the principal symbol of the difference operator. The solvability of the Cauchy problem is shown to be equivalent to the existence of a monomial basiПоказать полностьюs in the quotient ring of the polynomial ring by the ideal generated by the characteristic polynomial.
Журнал: SIBERIAN MATHEMATICAL JOURNAL
Выпуск журнала: Vol. 56, Is. 1
Номера страниц: 92-100
ISSN журнала: 00374466
Место издания: NEW YORK
Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER