Global solution curves for several classes of singular periodic problems

2016/03/23 by Philip Korman, Korman, Philip
Mathematics · #34B16 #34C25 #74F10 #78A35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34B16 #msc:34C25 #msc:74F10 #msc:78A35

paper · pdf · doi:10.48550/arxiv.1603.07033

23 pages, 3 figures

arxiv created 2016/03/23 · arxiv updated 2016/03/24

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 \citeLS problem.

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