Periodic solutions for a Cauchy problem on time scales

This paper firstly shows that there does not exist a nonzero periodic solution for a nonhomogeneous Cauchy problem by using the Laplace transformation on time scales. Secondly, two new Gronwall inequalities, which play an important role in the qualitative analysis of differential and integral equati...

Full description

Bibliographic Details
Main Author: Fode Zhang
Format: Article
Language:English
Published: Emerald Publishing 2015-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516615000134