文章基本信息

标题：Periodicity of solutions of nonhomogeneous linear difference equations
本地全文：下载
作者：Klara Janglajew ; Ewa Schmeidel
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：195
DOI：10.1186/1687-1847-2012-195
语种：English
出版社：Hindawi Publishing Corporation
摘要：Firstly, sufficient conditions for nonexistence of an ω-periodic solution of the equation x ( n + 1 ) + a 0 ( n ) x ( n ) = b ( n ) are presented. Then, sufficient conditions under which every solution of the above equation is asymptotically ω-periodic are given. Next, the results obtained for the first-order difference equation are generalized for the higher-order nonhomogeneous linear difference equation ∑ i = 0 k a i ( n ) x ( n + i ) = b ( n ) . Finally, the periodic and asymptotically periodic solutions of this equation are investigated. Many examples illustrate the results given. MSC:39A11, 39A10.
关键词：nonhomogeneous linear difference equation ; asymptotically periodic solution