eprintid: 2856 rev_number: 16 eprint_status: archive userid: 1903 dir: disk0/00/00/28/56 datestamp: 2014-05-14 11:14:17 lastmod: 2016-04-20 12:29:49 status_changed: 2014-05-14 11:14:17 type: article metadata_visibility: show item_issues_count: 0 creators_name: Abderramán Marrero, Jesús Carmelo title: Constant solutions in second osOrder linear homogeneous difference equations with variable coefficients ispublished: pub subjects: matematicas keywords: Transfer Matrix, Difference Equations, Stability, Discrete Dynamical Systems. abstract: The constant solutions of second order linear and homogeneous difference equation with variable coefficients are analyzed. Thus, a sufficient condition for the existence of the constant solution, with any initial solution, is provided. Also, fixed points and invariant subsets of the solutions are considered. Finally, a necessary and sufficient condition to maintain the existence of non-trivial fixed points in the product of transfer matrices of two dimensions, is given. date: 2008 date_type: published publisher: Slovak University of Technology in Bratislava official_url: http://www.journal.aplimat.com/ full_text_status: public publication: Journal of Applied Mathematics volume: 1 number: 1 pagerange: 11-18 institution: Informatica department: Matematica_Aplicada refereed: TRUE issn: 1337-6365 rights: by-nc-nd citation: Abderramán Marrero, Jesús Carmelo (2008). Constant solutions in second osOrder linear homogeneous difference equations with variable coefficients. "Journal of Applied Mathematics", v. 1 (n. 1); pp. 11-18. ISSN 1337-6365. document_url: https://oa.upm.es/2856/1/INVE_MEM_2008_59738.pdf