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THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES*

Published online by Cambridge University Press:  08 December 2010

YONGKUN LI  and
ERLIANG XU
YONGKUN LI
Affiliation:
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China
ERLIANG XU
Affiliation:
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China
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Abstract

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In this paper, by using the Leggett–Williams fixed point theorem, the existence of three positive periodic solutions for differential equations with piecewise constant argument and impulse on time scales is investigated. Some easily verifiable sufficient criteria are established. Finally, an example is given to illustrate the results.

Keywords

34N0534K4534K13
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011 , pp. 369 - 377
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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