Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

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

AMS Subject Classifications::

• 34K13
• 34K18
• 58E50

Acknowledgements

This project is supported by National Natural Science Foundation of China (No. 10871213) and by Guangdong University of Technology of China (No. 093051).