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Multiplicity of positive periodic solutions to second order differential equations

Published online by Cambridge University Press:  17 April 2009

Jifeng Chu ,
Xiaoning Lin ,
Daqing Jiang ,
Donal O'Regan  and
R. P. Agarwal
Jifeng Chu
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Xiaoning Lin
Affiliation:
Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, China
Daqing Jiang
Affiliation:
Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901–6975, United States of America
Donal O'Regan
Affiliation:
Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, China
R. P. Agarwal
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
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In this paper, we study the existence of positive periodic solutions to the equation x″ = f (t, x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 175 - 182
Copyright
Copyright © Australian Mathematical Society 2006

References

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