Email this article Exact Asymptotics of the Solution to a Difference Equation of General Type
- Authors: Sgibnev M.S.1
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Issue: Vol 231, No 2 (2018)
- Pages: 267-277
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241141
- DOI: https://doi.org/10.1007/s10958-018-3821-1
- ID: 241141
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Abstract
An asymptotic expansion for the solution to a nonhomogeneous difference equation of general type is obtained. The influence of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established, depending on the asymptotics of the nonhomogeneous term of the equation.
About the authors
M. S. Sgibnev
Sobolev Institute of Mathematics SB RAS
Author for correspondence.
Email: sgibnev@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090
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