|
|||||
|
|
Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations |
|
| Authors: | Chengjun Guo Donal O'Regan Yuantong Xu |
| Affiliation: | 1. School of Applied Mathematics , Guangdong University of Technology , Guangzhou 510006, P.R. China;2. Department of Mathematics , National University of Ireland , Galway, Ireland;3. Department of Mathematics , Sun Yat-sen University , Guangzhou, Guangdong 510275, P.R. China |
| Abstract: | Using the variational structure and the Z 2 group index theory we establish the existence of subharmonic solutions and homoclinic solutions for a class of even higher order differential equation. |
| Keywords: | subharmonic solutions homoclinic orbit higher order differential equation critical point theory Z 2 group index theory |