Research
Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations
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
Boundary Value Problems 2012, 2012:108 doi:10.1186/1687-2770-2012-108
Published: 9 October 2012Abstract
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.
