Solutions of two-point boundary value problems via phase-plane analysis

We consider period annuli (continua of periodic solutions) in equations of the type $x''+g(x)=0$ and $x''+f(x) x'^2 + g(x)= 0,$ where $g$ and $f$ are polynomials. The conditions are provided for existence of multiple nontrivial (encircling more than one critical point) perio...

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Bibliographic Details
Main Authors: Svetlana Atslega, Felix Sadyrbaev
Format: Article
Language:English
Published: University of Szeged 2016-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4270