5 papers
Poisson-Gradient Dynamical Systems with Convex Potential
Iulian Duca, Ana-Maria Teleman, Constantin Udriste
The basic aim is to extend some results and concepts of non-autonomous second order differential systems with convex potentials to the new context of multi-time Poisson-gradient PD…
Periodical Solutions of Poisson-Gradient Dynamical Systems with Periodical Potential
Constantin Udriste, Iulian Duca
The main purpose of this paper is the study of the action that produces Poisson-gradient systems and their multiple periodical solutions. The Section 1 establishes the basic tools.…
Some Inequalities Satisfied by Periodical Solutions of Multi-Time Hamilton Equations
Iulian Duca, Constantin Udriste
The objective of this paper is to find some inequalities satisfied by periodical solutions of multi-time Hamilton systems, when the Hamiltonian is convex. To our knowledge, this su…
Periodical Solutions of Multi-Time Hamilton Equations
Constantin Udriste, Iulian Duca
To our knowledge, there are two main references [9], [12] regarding the periodical solutions of multi-time Euler-Lagrange systems, even if the multi-time equations appeared in 1935…
Poisson-Gradient Dynamical Systems with Bounded Non-Linearity
Constantin Udriste, Iulian Duca
We study the periodical solutions of a Poisson-gradient PDEs system with bounded nonlinearity. Section 1 introduces the basic spaces and functionals. Section 2 studies the weak dif…