Existence and multiplicity of periodic solutions for some second order differential systems with $p(t)$-Laplacian

Year, pages: 2013, 1269 - 1290

In this paper, we deal with the existence and multiplicity of periodic solutions for the $p(t)$-Laplacian Hamiltonian system. Some new existence theorems are obtained by using the least action principle and minmax methods in critical point theory, and our results generalize and improve some existence theorems.

Zhang, L., Tang, X. 2013. Existence and multiplicity of periodic solutions for some second order differential systems with $p(t)$-Laplacian. In Mathematica Slovaca, vol. 63, no.6, pp. 1269-1290. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0170-x

Zhang, L., Tang, X. (2013). Existence and multiplicity of periodic solutions for some second order differential systems with $p(t)$-Laplacian. Mathematica Slovaca, 63(6), 1269-1290. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0170-x