Abstract
In this paper, we deal with the nonlinear fully second-order differential equation with p-Laplacian
where \(\phi _p(s)=|s|^{p-2}s\), \(p>1\), function \(f:\mathbb {R}^3 \rightarrow \mathbb {R}\) is continuous and T-periodic with respect to t. Using the topological transversality method and the barrier strip technique, we obtain new existence results of periodic solutions to the above p-Laplacian equation without growth restrictions. Meanwhile, an application is given for the Rayleigh-type p-Laplacian equation.
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Pei, M., Wang, L. Existence of periodic solutions for p-Laplacian equation without growth restrictions. Z. Angew. Math. Phys. 72, 53 (2021). https://doi.org/10.1007/s00033-021-01486-x
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DOI: https://doi.org/10.1007/s00033-021-01486-x