Geodesic
Existence of Periodic Solutions of $p(t)$-Laplacian Systems
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1

Voir la notice de l'article provenant de la source BMMS

In this paper, by using the least action principle in critical point theory, we obtain some existence theorems of periodic solutions for $p(t)$-Laplacian system \begin{equation*} \left\{ \begin{aligned} \frac{d}{dt}(|\dot{u}(t)|^{p(t)-2}\dot{u}(t))=\nabla F(t,u(t))\quad \text{a.e. }t\in[0,T] \\ (0)-u(T)=\dot{u}(0)-\dot{u}(T)=0, \end{aligned} \right. \end{equation*} which generalize some existence theorems.
Classification : 34C25, 35A15. 
Liang Zhang; Yi Chen. Existence of Periodic Solutions of $p(t)$-Laplacian Systems. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a2/
@article{BMMS_2012_35_1_a2,
     author = {Liang Zhang and Yi Chen},
     title = {Existence of {Periodic} {Solutions} of $p(t)${-Laplacian} {Systems}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a2/}
}
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