Detail publikace
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
ŠREMR, J.
Anglický název
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
We study the existence, exact multiplicity, and structure of the set of positive solutions to the periodic problem u" = p(t)u + h(t)|u|(lambda) sgn u + mu f (t); u(0) = u(omega), u0(0) = u'(omega), where mu is an element of R is a parameter. We assume that p, h, f is an element of L([0, omega]), lambda > 1, and the function h is non-negative. The results obtained extend the results known in the existing literature. We do not require that the Green's function of the corresponding linear problem be positive and we allow the forcing term f to change its sign.
Anglický abstrakt
We study the existence, exact multiplicity, and structure of the set of positive solutions to the periodic problem u" = p(t)u + h(t)|u|(lambda) sgn u + mu f (t); u(0) = u(omega), u0(0) = u'(omega), where mu is an element of R is a parameter. We assume that p, h, f is an element of L([0, omega]), lambda > 1, and the function h is non-negative. The results obtained extend the results known in the existing literature. We do not require that the Green's function of the corresponding linear problem be positive and we allow the forcing term f to change its sign.
Klíčová slova anglicky
Periodic solution; second-order differential equation; existence; Duffing equation; multiplicity; bifurcation; positive solution
Vydáno
05.10.2023
Nakladatel
Texas State University
Místo
SAN MARCOS
ISSN
1072-6691
Ročník
2023
Číslo
65
Strany od–do
1–23
Počet stran
23
BIBTEX
@article{BUT185053,
author="Jiří {Šremr},
title="Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term ",
year="2023",
volume="2023",
number="65",
month="October",
pages="1--23",
publisher="Texas State University",
address="SAN MARCOS",
issn="1072-6691"
}