关键词: p(t)-Laplace系统, 周期解, 临界点

Abstract:

Using variational principle, the author studied periodic solutions for p(t)-Laplacian systems with  p-linear nonlinearity and partially periodic potential. Some results for the existence of multiplicity of periodic solutions of the systems were obtained via generalized saddle point theorem in the minimax methods.

Key words: p(t)-Laplacian system, periodic solution, critical point