The Solutions of Second-Order Linear Matrix Equations on Time Scales

This paper studies the solutions of second-order linear matrix equations on time scales. Firstly, the necessary and sufficient conditions for the existence of a solution of characteristic equation are introduced; then two diverse solutions of characteristic equation are applied to express general so...

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Main Authors: Kefeng Li, Chao Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/976914
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author Kefeng Li
Chao Zhang
author_facet Kefeng Li
Chao Zhang
author_sort Kefeng Li
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description This paper studies the solutions of second-order linear matrix equations on time scales. Firstly, the necessary and sufficient conditions for the existence of a solution of characteristic equation are introduced; then two diverse solutions of characteristic equation are applied to express general solution of the matrix equations on time scales.
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spelling doaj-art-6511a9e1f1df498d8159fb4dce6a6a482025-08-20T02:06:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/976914976914The Solutions of Second-Order Linear Matrix Equations on Time ScalesKefeng Li0Chao Zhang1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaThis paper studies the solutions of second-order linear matrix equations on time scales. Firstly, the necessary and sufficient conditions for the existence of a solution of characteristic equation are introduced; then two diverse solutions of characteristic equation are applied to express general solution of the matrix equations on time scales.http://dx.doi.org/10.1155/2013/976914
spellingShingle Kefeng Li
Chao Zhang
The Solutions of Second-Order Linear Matrix Equations on Time Scales
Discrete Dynamics in Nature and Society
title The Solutions of Second-Order Linear Matrix Equations on Time Scales
title_full The Solutions of Second-Order Linear Matrix Equations on Time Scales
title_fullStr The Solutions of Second-Order Linear Matrix Equations on Time Scales
title_full_unstemmed The Solutions of Second-Order Linear Matrix Equations on Time Scales
title_short The Solutions of Second-Order Linear Matrix Equations on Time Scales
title_sort solutions of second order linear matrix equations on time scales
url http://dx.doi.org/10.1155/2013/976914
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