Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Loading...
Files
Date
2023-10-05
Authors
ORCID
0000-0002-3983-4219Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University
Altmetrics
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.
Description
Citation
Electronic Journal of Differential Equations. 2023, vol. 2023, issue 65, p. 1-23.
https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html
https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en