Asymptotic behaviour of a difference equation with complex-valued coefficients
Josef Kalas (2005)
Archivum Mathematicum
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The asymptotic behaviour for solutions of a difference equation , where the complex-valued function is in some meaning close to a holomorphic function , and 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.