A global solution curve for a class of periodic problems, including the pendulum equation. (English) Zbl 1155.34021
This paper studies the exact multiplicity of periodic solutions and the global solution structure for a class of periodically forced pendulum-like equations. The main tools used are continuation methods and bifurcation theory.
Reviewer: Jinhai Chen (Hongkong)
MSC:
34C25 | Periodic solutions to ordinary differential equations |
34C23 | Bifurcation theory for ordinary differential equations |
47N20 | Applications of operator theory to differential and integral equations |