Existence and multiplicity of periodic solutions for the ordinary \(p\)-Laplacian systems. (English) Zbl 1218.34048
The authors investigated an ordinary \(p\)-Laplacian systems. By using the saddle point theorem and the least action principle, they obtain some conditions that guarantees the existence of periodic solutions of the system. They also establish the existence of three distinct solutions by using the three-critical-point theorem.
Reviewer: Fengqin Zhang (Yuncheng)
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
| 58E30 | Variational principles in infinite-dimensional spaces |
Keywords:
ordinary p-Laplacian system; periodic solution; saddle point theorem; least action principleReferences:
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