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Publication detail
ŠREMR, J.
Original Title
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Periodic solution; second-order differential equation; existence; Duffing equation; multiplicity; bifurcation; positive solution
Authors
Released
5. 10. 2023
Publisher
Texas State University
Location
SAN MARCOS
ISBN
1072-6691
Periodical
Electronic Journal of Differential Equations
Year of study
2023
Number
65
State
United States of America
Pages from
1
Pages to
23
Pages count
URL
https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html
Full text in the Digital Library
http://hdl.handle.net/11012/214437
BibTex
@article{BUT185053, author="Jiří {Šremr}", title="Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term", journal="Electronic Journal of Differential Equations", year="2023", volume="2023", number="65", pages="1--23", doi="10.58997/ejde.2023.65", issn="1072-6691", url="https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html" }