Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones
- 作者: Yakovleva T.1
-
隶属关系:
- Siberian Federal University
- 期: 卷 58, 编号 2 (2017)
- 页面: 363-372
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171166
- DOI: https://doi.org/10.1134/S0037446617020185
- ID: 171166
如何引用文章
详细
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.
作者简介
T. Yakovleva
Siberian Federal University
编辑信件的主要联系方式.
Email: t.neckrasova@gmail.com
俄罗斯联邦, Krasnoyarsk
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