We consider the existence of periodic solutions to Hamiltonian systems with growth conditions involving G-function. We introduce the notion of symplectic G-function and provide relation for the growth of Hamiltonian in terms of certain constant CG associated to symplectic G-function G. We discuss an optimality of this constant for some special cases. We also provide applications to the Φ-laplacian type systems.
Authors
- S Acinas,
- dr inż. Jakub Maksymiuk link open in new tab ,
- F Mazzone
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1016/j.na.2019.05.017
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2019
