Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case

Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case

<p/> <p>We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation <inline-formula><graphic file="1687-1847-2010-594783-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-1847-2010-...

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Main Authors: Zhang JM, Cao LH
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2010/594783
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spelling doaj-cd9ca696e13946b4aa30f2c5c5e3aba62020-11-24T21:13:49ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101594783Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First CaseZhang JMCao LH<p/> <p>We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation <inline-formula><graphic file="1687-1847-2010-594783-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-1847-2010-594783-i2.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-594783-i3.gif"/></inline-formula> are integers, <inline-formula><graphic file="1687-1847-2010-594783-i4.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-594783-i5.gif"/></inline-formula> have asymptotic expansions of the form <inline-formula><graphic file="1687-1847-2010-594783-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-594783-i7.gif"/></inline-formula>, for large values of <inline-formula><graphic file="1687-1847-2010-594783-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-594783-i9.gif"/></inline-formula>, and <inline-formula><graphic file="1687-1847-2010-594783-i10.gif"/></inline-formula>.</p> http://www.advancesindifferenceequations.com/content/2010/594783
collection DOAJ
language English
format Article
sources DOAJ
author Zhang JM
Cao LH
spellingShingle Zhang JM
Cao LH
Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
Advances in Difference Equations
author_facet Zhang JM
Cao LH
author_sort Zhang JM
title Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
title_short Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
title_full Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
title_fullStr Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
title_full_unstemmed Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
title_sort error bounds for asymptotic solutions of second-order linear difference equations ii: the first case
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2010-01-01
description <p/> <p>We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation <inline-formula><graphic file="1687-1847-2010-594783-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-1847-2010-594783-i2.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-594783-i3.gif"/></inline-formula> are integers, <inline-formula><graphic file="1687-1847-2010-594783-i4.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-594783-i5.gif"/></inline-formula> have asymptotic expansions of the form <inline-formula><graphic file="1687-1847-2010-594783-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-594783-i7.gif"/></inline-formula>, for large values of <inline-formula><graphic file="1687-1847-2010-594783-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-594783-i9.gif"/></inline-formula>, and <inline-formula><graphic file="1687-1847-2010-594783-i10.gif"/></inline-formula>.</p>
url http://www.advancesindifferenceequations.com/content/2010/594783
work_keys_str_mv AT zhangjm errorboundsforasymptoticsolutionsofsecondorderlineardifferenceequationsiithefirstcase
AT caolh errorboundsforasymptoticsolutionsofsecondorderlineardifferenceequationsiithefirstcase
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