Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations

The paper studies the existence, exact multiplicity, and a structure of the set of positive solutions to the periodic problem $$ u''=p(t)u+q(t,u)u+f(t);\quad u(0)=u(\omega),\ u'(0)=u'(\omega), $$ where $p,f\in L([0,\omega])$ and $q\colon[0,\omega]\times\mathbb{R}\to\mathbb{R...

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Bibliographic Details
Main Author: Jiří Šremr
Format: Article
Language:English
Published: University of Szeged 2021-09-01
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=9185