Periodic solutions for a class of second-order Hamiltonian systems.
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 for second-order Hamiltonian systems with the p-Laplacian.
Periodic solutions for second-order Hamiltonian systems with a p -Laplacian
In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds
Periodic solutions for some nonautonomous -Laplacian Hamiltonian systems
In this paper, we deal with the existence of periodic solutions of the -Laplacian Hamiltonian system Some new existence theorems are obtained by using the least action principle and minimax methods in critical point theory, and our results generalize and improve some existence theorems.
Periodic solutions for subquadratic discrete Hamiltonian systems.
Periodic solutions near an equilibrium of a differential equation with a first integral
Periodic solutions of a non coercive Hamiltonian system.
Periodic solutions of certain third order differential systems with nonlinear dissipation
Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian
By using the topological degree theory and some analytic methods, we consider the periodic boundary value problem for the singular dissipative dynamical systems with p-Laplacian: , x(0) = x(T), x’(0) = x’(T). Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces d/dt gradF(x).
Periodic solutions of hamiltonian systems of 3-body type
Periodic Solutions of Hamiltonian Systems on Hypersurfaces in Torus.
Periodic solutions of non-autonomous Hamiltonian systems with symmetries.
Periodic solutions of second order hamiltonian systems bifurcating from infinity
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 second-order nonautonomous dynamical systems.
Periodic solutions of some problems of 3-body type
Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.