Open Access
may 2011 Periodic solutions for second order Hamiltonian system with a $p$-Laplacian
Xingyong Zhang, Xianhua Tang
Bull. Belg. Math. Soc. Simon Stevin 18(2): 301-309 (may 2011). DOI: 10.36045/bbms/1307452080

Abstract

In this paper, by using an improved inequality, we improve an existence theorem of periodic solutions for second order Hamiltonian system with a $p$-Laplacian. Moreover, an estimate of solutions is also given. Our results improve those in some known literatures.

Citation

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Xingyong Zhang. Xianhua Tang. "Periodic solutions for second order Hamiltonian system with a $p$-Laplacian." Bull. Belg. Math. Soc. Simon Stevin 18 (2) 301 - 309, may 2011. https://doi.org/10.36045/bbms/1307452080

Information

Published: may 2011
First available in Project Euclid: 7 June 2011

zbMATH: 1221.34183
MathSciNet: MR2735506
Digital Object Identifier: 10.36045/bbms/1307452080

Subjects:
Primary: 34C25 , 58E50

Keywords: $p$-Laplacian systems , critical point , periodic solutions , Sobolev's inequality , Writinger's inequality

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 2 • may 2011
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