Global solution curves for several classes of singular periodic problems

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• 作者：Philip Korman ^{kormanp@ucmail.uc.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Periodic solutions ; Exact multiplicity
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：1-16
• 全文大小：636 K

文摘

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 (Lazer and Solimini, 1987) problem.