Email this article Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones
- Authors: Yakovleva T.I.1
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Affiliations:
- Siberian Federal University
- Issue: Vol 58, No 2 (2017)
- Pages: 363-372
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171166
- DOI: https://doi.org/10.1134/S0037446617020185
- ID: 171166
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Abstract
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.
About the authors
T. I. Yakovleva
Siberian Federal University
Author for correspondence.
Email: t.neckrasova@gmail.com
Russian Federation, Krasnoyarsk
