(Q, T)-affine-periodic solutions and Pseudo (Q, T)-affine-periodic solutions for Dynamic Equations on Time Scales. (31st March 2022)

• Record Type: Journal Article
• Authors: Guo, Ruichao; Jiang, Xiaomeng; Wang, Hongren
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-03-31
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/6874460
• Languages: English
• ISSNs: 2314-4629

Abstract

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 x Δ t = A t x t + f t and x Δ t = A t x t + g t, x t, 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.