Subharmonic solutions of systems of difference equations with periodic perturbations. Part I: Existence

  • Zhang R
  • Wei J
  • Wu J
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Abstract

We consider the existence of subharmonic solutions of systems of difference equations with periodic perturbations. The theory of coincidence degree, coupled with some detailed a priori estimates, is applied to show that the perturbed system admits subharmonic solutions near a hyperbolic periodic orbit of the unperturbed system if the perturbation is sufficiently small. © 2002 Elsevier Science (USA). All rights reserved.

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