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Publication detail
ŠREMR, J.
Original Title
Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations
Type
journal article in Web of Science
Language
English
Original Abstract
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); u(0)=u(\omega), u'(0)=u'(\omega), where p, f\in L([0,\omega]) and q : [0,\omega]\times R\to R is Carathéodory function. Obtained general results are applied to the forced non-autonomous Duffing equation u'' = p(t)u+h(t)|u|^\lambda\sgn u+f (t), with \lambda>1 and a non-negative h\in L([0,\omega]). We allow the coefficient p and the forcing term f to change their signs.
Keywords
Positive periodic solution;second-order differential equation;Duffing equation;existence;uniqueness;multiplicity
Authors
Released
8. 9. 2021
Publisher
Bolyai Institute, University of Szeged
Location
Hungary
ISBN
1417-3875
Periodical
Electronic Journal of Qualitative Theory of Differential Equations
Year of study
2021
Number
62
State
Pages from
1
Pages to
33
Pages count
URL
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9185
Full text in the Digital Library
http://hdl.handle.net/11012/201678
BibTex
@article{BUT172441, author="Jiří {Šremr}", title="Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations", journal="Electronic Journal of Qualitative Theory of Differential Equations", year="2021", volume="2021", number="62", pages="1--33", doi="10.14232/ejqtde.2021.1.62", issn="1417-3875", url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9185" }