Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU141109" target="_blank" >RIV/00216305:26210/21:PU141109 - isvavai.cz</a>
Result on the web
<a href="http://ma.fme.vutbr.cz/10_1.html" target="_blank" >http://ma.fme.vutbr.cz/10_1.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.13164/ma.2021.07" target="_blank" >10.13164/ma.2021.07</a>
Alternative languages
Result language
angličtina
Original language name
Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics for applications
ISSN
1805-3610
e-ISSN
—
Volume of the periodical
10
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
14
Pages from-to
79-92
UT code for WoS article
—
EID of the result in the Scopus database
2-s2.0-85112841912