- ON PERIODICIZING FUNCTIONS
- Naito Toshiki ; Shin Jong-Son ;
- Bulletin of the Korean Mathematical Society, volume 43, issue 2, 2006, Pages 253~263
- DOI : 10.4134/BKMS.2006.43.2.253

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.