Representation of solutions of difference equations with continuous time

This paper describes a representation of solutions of the system of nonautonomous functional equations $x(t)=A(t)x(t-1)+B(t)x(p(t))$, in form of series, using the Cauchy matrix of the linear system $y(t)=A(t)y(t-1)$. A representation of analitical solutions of the equation $x(t)=ax(t-1)+bx(pt)$ with...

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Bibliographic Details
Main Author: Hajnalka Péics
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=46