THE EXISTENCE OF HETEROCLINIC ORBITS FOR A SECOND ORDER HAMILTONIAN SYSTEM
THE EXISTENCE OF HETEROCLINIC ORBITS FOR A SECOND ORDER HAMILTONIAN SYSTEM
In this paper, via variational methods and critical point theory, we study the existence of heteroclinic orbits for the following second order nonautonomous Hamiltonian system $$ \ddot{u} - \triangledown{F(t,u)} = 0, $$ where $u \in R^{n}$ and $F \in C^{1}(R \times R^{n}, R)$, $F \geq 0$. $\mathcal{M} \subset R^{n}$ be …