REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 51, Issue 4, 2014, pp.933-942
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2014.51.4.933

Title & Authors

REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM

Kim, Dohan; Shin, Jong Son;

Kim, Dohan; Shin, Jong Son;

Abstract

We give a representation of the component of solutions with characteristic multiplier 1 in a periodic linear inhomogeneous continuous system. It follows from this representation that asymptotic behaviors of the component of solutions to the system and to its associated homogeneous system are quite different, though they are similar in the case where the characteristic multiplier is not 1. Moreover, the representation is applicable to linear discrete systems with constant coefficients.

Keywords

representation of solutions;periodic linear continuous system;linear discrete system;

Language

English

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