Publication details

Asymptotic behaviour of a difference equation with complex-valued coefficients



Year of publication 2005
Type Article in Periodical
Magazine / Source Archivum Mathematicum (Brno)
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords difference equations; asymptotic behaviour; Lyapunov functions.
Description The asymptotic behaviour for solutions of a difference equation Dzn=f(n,zn), where the complex valued function f(n,zn) is in some meaning close to a holomorphic function h, and for solutions of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex valued right-hand sides.
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