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

被引：1

作者：

Guo, Ruichao ^{[1
]}

Jiang, Xiaomeng ^{[2
]}

Wang, Hongren ^{[3
]}

机构：

[1] Jilin Univ Finance & Econ, Sch Appl Math, Changchun 130117, Jilin, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China

[3] Jilin Normal Univ, Coll Math, Siping 136000, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

EXPONENTIAL DICHOTOMY; STABILITY QUESTION; EXISTENCE; SYSTEMS;

D O I：

10.1155/2022/6874460

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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(Delta) (t) = A (t)x (t) + f (t) and x(Delta) (t) = A (t)x (t) + g (t, x (t)), t is an element of 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.

引用

页数：10

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