On the affine-periodic solutions of discrete dynamical systems

Authors : Halis Can KOYUNCUOĞLU, Murat ADIVAR

Pages : 2260-2269

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Affine periodicity is a generalization of the notion of conventional periodicity and it is a symmetry property for classes of functions. This study is concerned with the existence of $insert ignore into journalissuearticles values(Q,T);$-affine periodic solutions of discrete dynamical systems. Sufficient conditions for the main results are proposed due to discrete exponential dichotomy and fixed point theory. Obtained results are also implemented for some economical and biological models. In particular cases, our results cover some existing results in the literature for periodic, antiperiodic, or quasiperiodic solutions of difference equations.
Keywords : Affine periodic, affine symmetric, exponential dichotomy, fixed point