Detail publikace
Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations
ŠREMR, J.
Originální název
Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations
Typ
článek v časopise ve Scopus, Jsc
Jazyk
angličtina
Originální abstrakt
We study a bifurcation of positive solutions to the parameter-dependent periodic problem u''=p(t)u−h(t)|u|^λ sgn u+µf(t); u(0)=u(ω), u'(0)=u'(ω), where λ>1, p, h, f∈L([0, ω]), and µ∈R is a parameter. Both the coefficient p and the forcing term f may change their signs, h≥0 a. e. on [0, ω]. We provide sharp conditions on the existence and multiplicity as well as non-existence of positive solutions to the given problem depending on the choice of the parameter µ.
Klíčová slova
periodic solution;second-order differential equation;Duffing equation;existence;multiplicity;bifurcation;positive solution
Autoři
ŠREMR, J.
Vydáno
29. 6. 2021
Nakladatel
Institute of Mathematics, Brno University of Technology
Místo
Česká republika
ISSN
1805-3610
Periodikum
Mathematics for applications
Ročník
10
Číslo
1
Stát
Česká republika
Strany od
79
Strany do
92
Strany počet
14
URL
BibTex
@article{BUT171908,
author="Jiří {Šremr}",
title="Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations",
journal="Mathematics for applications",
year="2021",
volume="10",
number="1",
pages="79--92",
doi="10.13164/ma.2021.07",
issn="1805-3610",
url="http://ma.fme.vutbr.cz/10_1.html"
}