## Existence of infinitely many periodic solutions for ordinary $$p$$-Laplacian systems.(English)Zbl 1153.37009

Summary: We study the existence and multiplicity of non-trivial periodic solutions of ordinary $$p$$-Laplacian systems by using the minimax technique in critical point theory. We also give an example to illustrate that the obtained results are new even in the case $$p=2$$.

### MSC:

 37C10 Dynamics induced by flows and semiflows 34C25 Periodic solutions to ordinary differential equations 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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### References:

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