Ψ-bounded Solutions for a System of Difference Equations on Z

Ψ-bounded Solutions for a System of Difference Equations on Z

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摘要 In this work we discuss the existence of ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of ψ--bounded solutions for the linear nonhomogeneous difference equation x（n＋1）=A（n）x（n）＋f（n） for every ψ-bounded sequence f（n）. In this work we discuss the existence of ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of ψ--bounded solutions for the linear nonhomogeneous difference equation x（n＋1）=A（n）x（n）＋f（n） for every ψ-bounded sequence f（n）.

作者 HAN YU-LIANG LIu BAI-FENG SUN XI-DONG

机构地区 College of Mathematics and Information Scieces

出处《Communications in Mathematical Research》 CSCD 2011年第4期331-342,共12页 数学研究通讯（英文版）

基金 The NSF(Y2008A30,ZR2010AL011)of Shandong Province

关键词 difference equation ψ-bounded solution EXISTENCE difference equation, ψ-bounded solution, existence

分类号 O241.84 [理学—计算数学] O241.3 [理学—数学]

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Communications in Mathematical Research

2011年第4期

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Ψ-bounded Solutions for a System of Difference Equations on Z

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