Тип публикации: статья из журнала
Год издания: 2017
Идентификатор DOI: 10.1134/S0037446617020185
Ключевые слова: multidimensional difference equation, rational cone, well-posedness of the Cauchy problem
Аннотация: 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 conditПоказать полностьюion ensuring stability of the Cauchy problem is stated on using the notion of amoeba of an algebraic hypersurface. © 2017, Pleiades Publishing, Ltd.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Vol. 58, Is. 2
Номера страниц: 363-372