On subharmonic solutions of systems of difference equations with periodic perturbations. II: Multiplicity and stability. (English) Zbl 1011.39015
Under the additional assumption that the function \(g\) in part I [ibid. 275, No. 2, 495-511 (2002; Zbl 1011.39014)] above is locally Lipschitz continuous in \(x\), the precise number of solutions of equation \((*)\) is determined, and their stability behaviour is investigated.
Reviewer: Lothar Berg (Rostock)
MSC:
| 39A11 | Stability of difference equations (MSC2000) |
| 39A05 | General theory of difference equations |
Keywords:
subharmonic solutions; systems of difference equations; periodic perturbations; multiplicity; periodic solutions; stabilityCitations:
Zbl 1011.39014References:
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