Nontrivial solutions for resonant difference systems via computations of the critical groups

作者：Liu, Jinsheng; Wang, Shuli^*; Zhang, Jianming; Zhang, Fuwei

来源：Journal of Mathematical Analysis and Applications, 2012, 385(1): 60-71.

DOI：10.1016/j.jmaa.2011.06.027

• Difference systems
• Resonance
• Critical group
• Morse theory

In this paper, we study the existence of solutions for a class of resonant difference systems by using the minimax methods and the Morse theory. We prove that there exists at least one nontrivial solution for the systems.

• 出版日期2012-1-1
• 单位太原理工大学