Asymptotic behaviour of a difference equation with complex-valued coefficients

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Authors	KALAS Josef
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Archivum Mathematicum (Brno)
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	difference equations; asymptotic behaviour; Lyapunov functions.
Description	The asymptotic behaviour for solutions of a difference equation Dz_n=f(n,z_n), where the complex valued function f(n,z_n) 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.
Related projects:	Functional-differential equations and mathematical-statistical models