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

In: Mathematica Slovaca, vol. 63, no. 6

Liang Zhang - X. H. Tang

Detaily:

Rok, strany: 2013, 1269 - 1290

Kľúčové slová:

periodic solutions, Hamiltonian systems, $p(t)$-Laplacian systems, critical point, $G$-invariant function, (PS)$_G$ condition

DOI: https://doi.org/10.2478/s12175-013-0170-x

O článku:

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.

Ako citovať:

ISO 690:

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

APA:

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

O vydaní:

Publikované: 1. 12. 2013