English

Global solution curves for several classes of singular periodic problems

Classical Analysis and ODEs 2016-03-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.1603.07033,
  title  = {Global solution curves for several classes of singular periodic problems},
  author = {Philip Korman},
  journal= {arXiv preprint arXiv:1603.07033},
  year   = {2016}
}

Comments

23 pages, 3 figures

R2 v1 2026-06-22T13:16:41.286Z