Periodic solutions of damped differential systems with repulsive singular forces. (English) Zbl 0908.34024
Summary: The author considers the periodic boundary value problem for the singular differential system , with , , and . The singular potential is of repulsive type in the sense that as . Under Habets-Sanchez’s strong force condition on at the origin, the existence results, obtained by coincidence degree in this paper, have no restriction on the damping forces . Meanwhile, some quadratic growth of the restoring potentials at infinity is allowed.
|34C15||Nonlinear oscillations, coupled oscillators (ODE)|
|34C25||Periodic solutions of ODE|