Publication details
Asymptotic behaviour of a difference equation with complex-valued coefficients
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum (Brno) |
| MU Faculty or unit | |
| Citation | |
| 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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