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http://dx.doi.org/10.4134/BKMS.2006.43.2.253

ON PERIODICIZING FUNCTIONS  

Naito Toshiki (THE UNIVERSITY OF ELECTRO-COMMUNICATIONS)
Shin Jong-Son (THE UNIVERSITY OF ELECTRO-COMMUNICATIONS)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 253-263 More about this Journal
Abstract
In this paper we introduce a new concept, a 'periodicizing' function for the linear differential equation with the periodic forcing function. Moreover, we construct this function, which is closely related with the solution of a difference equation and an indefinite sum. Using this function, we can obtain a representation of solutions from which we see immediately the asymptotic behavior of the solutions.
Keywords
periodicizing function; linear differential equation; linear difference equation; indefinite sum; representation of solutiontion;
Citations & Related Records

Times Cited By SCOPUS : 3
연도 인용수 순위
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2 K. S. Miller, An Introduction to the Calculus of Finite Differences and Difference Equations, Dover Publications, New York, 1966
3 J. Kato, T. Naito, and J. S. Shin, A characterization of solutions in linear differential equations with peri- odic forcing functions, J. Difference Equ. Appl. 11 (2005), no. 1, 1-19   DOI   ScienceOn