(Q, T)-affine-periodic solutions and Pseudo (Q, T)-affine-periodic solutions for Dynamic Equations on Time Scales

Ruichao Guo, Xiaomeng Jiang, Hongren Wang and Serkan Araci

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: The aim of this paper is to study the existence of Q,T-affine-periodic solutions for affine-periodic systems on time scales of the type xΔt=Atxt+ft and xΔt=Atxt+gt,xt,t∈T, assuming that corresponding homogeneous equation of this system admits exponential dichotomy. The result is also extended to the case of pseudo Q,T-affine-periodic solutions. The main approaches are based on the Banach contraction mapping principle, but certain technical aspects on time scales are more complicated.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6874460

DOI: 10.1155/2022/6874460

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