Existence of periodic solutions for Hamiltonian inclusion systems using Clarke duality
We prove the existence of periodic solutions for Hamiltonian differential inclusions under growth conditions involving a G-function.
math.DS↗
arXiv subjects
Fernando D. Mazzone
Publications and source records attributed to Fernando D. Mazzone.
On the existence of periodic solutions for $\phi$-Laplacian inclusion systems
We apply the direct method of the calculus of variations to prove existence of periodic solutions for differential inclusion systems involving an anisotropic $\phi$-Laplacian operator.
math.CA↗
Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations, which include, among others, equations involving the $p$-Laplace and, more generality, the $(p,q)$-Laplace operator. We employ the direct method of the calculus of variations in the framework of anisotropic Orlicz-Sobolev spaces. These spaces appear to be useful in formulating a unified theory of existence for the type of problem considered.
math.CA↗