Perfect Morse functions and some applications.
Periodic and heteroclinic orbits for a periodic hamiltonian system
Periodic bounce trajectories with a low number of bounce points
Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales.
Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems
We study the existence of spatial periodic solutions for nonlinear elliptic equations where is a continuous function, nondecreasing w.r.t. . We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations....
Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems
We study the existence of spatial periodic solutions for nonlinear elliptic equations where g is a continuous function, nondecreasing w.r.t. u. We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions g are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations. ...
Periodic solutions for second order Hamiltonian systems
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Periodic solutions of asymptotically linear systems without symmetry
Periodic solutions of hamiltonian systems of 3-body type
Periodic solutions of non-autonomous Hamiltonian systems with symmetries.
Periodic solutions of non-autonomous second order systems with -Laplacian.
Periodic solutions of perturbed superquadratic hamiltonian systems
Periodic Solutions of Second Order Nonautonomous Systems with the Potentials Changing Sign
Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.
Periodic solutions of some problems of 3-body type
Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.
Periodic Solutions on hypersurfaces and a result by C. Viterbo.
Periodic solutions with prescribed energy for some keplerian -body problems
Perturbation results for a class of singular Hamiltonian systems
The existence of solutions with prescribed period for a class of Hamiltonian systems with a Keplerian singularity is discussed.
Perturbation theorems on Morse theory for continuous functions.