Detail publikačního výsledku

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

ŠREMR, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Periodic solution; second-order differential equation; existence; Duffing equation; multiplicity; bifurcation; positive solution

Klíčová slova v angličtině

Periodic solution; second-order differential equation; existence; Duffing equation; multiplicity; bifurcation; positive solution

Autoři

ŠREMR, J.

Rok RIV

2024

Vydáno

05.10.2023

Nakladatel

Texas State University

Místo

SAN MARCOS

ISSN

1072-6691

Periodikum

Electronic Journal of Differential Equations

Svazek

2023

Číslo

65

Stát

Spojené státy americké

Strany od

1

Strany do

23

Strany počet

23

URL

https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html

Plný text v Digitální knihovně

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"
}

Dokumenty

sremr