Open Access Research

Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations

Hai Pu12* and Jinyun Yang3

Author affiliations

1 State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China

2 School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, China

3 School of Mathematics and Physical Sciences, Xuzhou Institute of Technology, Xuzhou, Jiangsu, 221008, China

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Citation and License

Boundary Value Problems 2012, 2012:108  doi:10.1186/1687-2770-2012-108

Published: 9 October 2012

Abstract

The existence of anti-periodic solutions with symmetry for high-order Duffing equations and a high-order Duffing type p-Laplacian equation has been studied by using degree theory. The results obtained enrich some known works to some extent.

MSC: 34B15, 34C25.

Keywords:
anti-periodic solution with symmetry; high-order ordinary differential equation; p-Laplacian operator; Leray-Schauder degree theory