Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

By Yongkun Li, Chao Wang. 2011

138 citations recorded by the source corpus.

Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale or , our definition of the uniformly almost periodic functions is equivalent to the classical definitions of uniformly almost periodic functions and the uniformly almost periodic sequences, respectively. Then, based on these, we study the existence and uniqueness of almost periodic solutions and derive some fundamental conditions of admitting an exponential dichotomy to linear dynamic equations. Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f2fe8fe75772987a8a84c3d29d7d125f39704cf4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Carlos Lizama
2. Jaqueline Godoy Mesquita
3. Gaston M. N'Guérékata
4. Christopher S. Goodrich
5. Chuang Chen
6. Miao Li
7. Rodrigo Ponce
8. V. Keyantuo

In Numerical Analysis

1. Carlos Lizama
2. Jaqueline Godoy Mesquita

Citations in the corpus

• Almost automorphic solutions of dynamic equations on time scales (2013, background): “Wang (2011) in [40] and based on it, some results concerning almost periodicity for dynamic equations on time scales were proved (see [39]).”