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2012 EXISTENCE OF PERIODIC SOLUTIONS FOR HIGHER ORDER DYNAMIC EQUATIONS ON TIME SCALES
Sheng-Ping Wang
Taiwanese J. Math. 16(6): 2259-2273 (2012). DOI: 10.11650/twjm/1500406850

Abstract

In this paper, we study a sufficient condition for the existence of a periodic solution for the $n$th order dynamic equations on time scales. The results are shown by the use of coincidence degree theory. The necessary a priori bounds are based on Wirtinger type inequality established as Lemma B.

Citation

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Sheng-Ping Wang. "EXISTENCE OF PERIODIC SOLUTIONS FOR HIGHER ORDER DYNAMIC EQUATIONS ON TIME SCALES." Taiwanese J. Math. 16 (6) 2259 - 2273, 2012. https://doi.org/10.11650/twjm/1500406850

Information

Published: 2012
First available in Project Euclid: 18 July 2017

MathSciNet: MR3001846
Digital Object Identifier: 10.11650/twjm/1500406850

Subjects:
Primary: 34B15 , 34N05

Keywords: Coincidence degree , higher order dynamic equations , periodic solution , priori estimates , Time scales , Wirtinger type inequality

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 6 • 2012
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