Periodic boundary value problems for fırst order dynamic equations on time scales

Advances in Difference Equations

Xiaozhi Zhang¹  Chuanxi Zhu² 

[1] Department of Mathematics, Nanchang University, Nanchang, People's Republic of China

关键词: Periodic boundary value problems;    time scales;    lower and upper solutions;   

DOI  :  10.1186/1687-1847-2012-76

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, the existence criteria of extremal solutions of periodic boundary value problems for the first-order dynamic equations on time scales are given by using the method of lower and upper solutions coupled with the monotone iterative technique. Our results generalize and improve some existing results. Two examples are provided to show the effectiveness and feasibility of the obtained results.

【 授权许可】

CC BY