Global solution curves for several classes of singular periodic problems

摘要

Using continuation methods and bifurcation theory, we study the exactmultiplicity of periodic solutions, and the global solution structure, forthree classes of periodically forced equations with singularities, includingthe equations arising in micro-electro-mechanical systems (MEMS), the ones incondensed matter physics, as well as A.C. Lazer and S. Solimini's \cite{LS}problem.