Notes on periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian. (English) Zbl 1288.93047
Summary: In this paper, we first prove two inequalities, then by using critical point theory, improve an existence theorem of periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian, and present some estimates of periodic solutions.
MSC:
| 93C10 | Nonlinear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
| 39A23 | Periodic solutions of difference equations |
| 37J45 | Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) |
| 35A15 | Variational methods applied to PDEs |
