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Keywords:
difference equations; asymptotic behaviour; Lyapunov functions
difference equations; asymptotic behaviour; Lyapunov functions
Summary:
The asymptotic behaviour for solutions of a difference equation $z_n = f(n,z_n)$, where the complex-valued function $f(n,z)$ is in some meaning close to a holomorphic function $h$, 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.
References:
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