Detail publikace

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

ŠREMR, J.

Anglický název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

05.10.2023

Nakladatel

Texas State University

Místo

SAN MARCOS

ISSN

1072-6691

Ročník

2023

Číslo

65

Strany od–do

1–23

Počet stran

23

BIBTEX


@article{BUT185053,
  author="Jiří {Šremr},
  title="Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term ",
  year="2023",
  volume="2023",
  number="65",
  month="October",
  pages="1--23",
  publisher="Texas State University",
  address="SAN MARCOS",
  issn="1072-6691"
}