| Volume 5, Number 4, 2015, Pages 781-792 DOI：10.11948/2015059 |
| Affine-periodic solutions for discrete dynamical systems |
| Xin Meng,Yong Li |
| Keywords:Discrete dynamical systems, affine-periodic solutions, brouwer degree |
| Abstract: |
| The paper concerns the existence of affine-periodic solutions for discrete dynamicalsystems. This kind of solutions might be periodic, harmonic, quasi-periodic, even non-periodic.We prove the existence of affine-periodic solutions for discrete dynamical systems by using thetheory of Brouwer degree. As applications, another existence theorem is given via Lyapnovfunction. |
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