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Existence of periodic solutions for a class of second-order \(p\)-Laplacian systems. (English) Zbl 1427.34037

Summary: In this paper, the existence of periodic solutions are obtained for a class of non-autonomous second-order \(p\)-Laplacian systems by the least action principle.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
35B38 Critical points of functionals in context of PDEs (e.g., energy functionals)
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
Full Text: DOI

References:

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