Periodic solutions for dynamic equations on time scales

Shun Tang Wu; Long Yi Tsai

doi:10.5556/j.tkjm.40.2009.466

Periodic solutions for dynamic equations on time scales

Shun Tang Wu
, Long Yi Tsai

General Education Center

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The second order nonlinear dynamic system on time scales is considered. Some sufficient conditions for the existence of periodic solutions are given. Differential inequality techniques and the method of mixed monotony are used.

Original language	English
Pages (from-to)	173-191
Number of pages	19
Journal	Tamkang Journal of Mathematics
Volume	40
Issue number	2
DOIs	https://doi.org/10.5556/j.tkjm.40.2009.466
State	Published - 2009

Bibliographical note

Funding Information:
This research was partially supported by NNSF 40501077, NNSF of China (10571078), the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education of China and the Research Foundation of Qinghai Nationalities University.

Keywords

Dynamic equation
Method of mixed monotony
Periodic solution
Time scales
Upper(lower) solutions

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10.5556/j.tkjm.40.2009.466

Cite this

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title = "Periodic solutions for dynamic equations on time scales",

abstract = "The second order nonlinear dynamic system on time scales is considered. Some sufficient conditions for the existence of periodic solutions are given. Differential inequality techniques and the method of mixed monotony are used.",

keywords = "Dynamic equation, Method of mixed monotony, Periodic solution, Time scales, Upper(lower) solutions",

author = "Wu, \{Shun Tang\} and Tsai, \{Long Yi\}",

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AU - Tsai, Long Yi

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AB - The second order nonlinear dynamic system on time scales is considered. Some sufficient conditions for the existence of periodic solutions are given. Differential inequality techniques and the method of mixed monotony are used.

KW - Dynamic equation

KW - Method of mixed monotony

KW - Periodic solution

KW - Time scales

KW - Upper(lower) solutions

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ER -

Periodic solutions for dynamic equations on time scales

Abstract

Bibliographical note

Keywords

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