skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Exact Asymptotics of the Solution to a Difference Equation of General Type

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.

Authors:
 [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771204
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ASYMPTOTIC SOLUTIONS; EQUATIONS; EXACT SOLUTIONS

Citation Formats

Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru. Exact Asymptotics of the Solution to a Difference Equation of General Type. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3821-1.
Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru. Exact Asymptotics of the Solution to a Difference Equation of General Type. United States. doi:10.1007/S10958-018-3821-1.
Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru. Tue . "Exact Asymptotics of the Solution to a Difference Equation of General Type". United States. doi:10.1007/S10958-018-3821-1.
@article{osti_22771204,
title = {Exact Asymptotics of the Solution to a Difference Equation of General Type},
author = {Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3821-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}