Ground state periodic solutions for Duffing equations with superlinear nonlinearities

Advances in Difference Equations

Jian Wang¹  Guanwei Chen¹ 

[1] School of Mathematics and Statistics, Anyang Normal University, Anyang, P.R. China

关键词: second order differential equations;    ground state periodic solutions;    spectral gap;    generalized Nehari manifold approach;   

DOI  :  10.1186/1687-1847-2014-139

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a general second order differential equation with superlinear nonlinearity. We obtain ground state and geometrically distinct periodic solutions of this equation by a generalized Nehari manifold approach. In particular, our result extends some existing ones. MSC:32G34, 34C25.

【 授权许可】

CC BY