Publication detail

Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term

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

ŠREMR, J.

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

23

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"
}