Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU149295" target="_blank" >RIV/00216305:26210/23:PU149295 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html" target="_blank" >https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.58997/ejde.2023.65" target="_blank" >10.58997/ejde.2023.65</a>
Alternative languages
Result language
angličtina
Original language name
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Differential Equations
ISSN
1072-6691
e-ISSN
1550-6150
Volume of the periodical
2023
Issue of the periodical within the volume
65
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
1-23
UT code for WoS article
001084601600001
EID of the result in the Scopus database
2-s2.0-85174320710