Publication detail

On periodic solutions to second-order Duffing type equations

LOMTATIDZE, A. ŠREMR, J.

English title

On periodic solutions to second-order Duffing type equations

Type

journal article in Web of Science

Language

en

Original abstract

Sufficient and necessary conditions are found for the existence of a positive periodic solution to the Duffing type equation u"=p(t)u+q(t,u)u. The results obtained are compared with facts well known for the autonomous Duffing equation y"+ay-by3=0. Uniqueness of solutions and possible generalizations are discussed, as well.

English abstract

Sufficient and necessary conditions are found for the existence of a positive periodic solution to the Duffing type equation u"=p(t)u+q(t,u)u. The results obtained are compared with facts well known for the autonomous Duffing equation y"+ay-by3=0. Uniqueness of solutions and possible generalizations are discussed, as well.

Keywords in English

periodic solution;Duffing type equation;positive solution

Released

01.01.2018

Publisher

Elsevier

Location

GB - Velká Británie

ISSN

1468-1218

Volume

2018

Number

40

Pages from–to

215–242

Pages count

28

BIBTEX


@article{BUT141842,
  author="Aleksandre {Lomtatidze} and Jiří {Šremr},
  title="On periodic solutions to second-order Duffing type equations",
  year="2018",
  volume="2018",
  number="40",
  month="January",
  pages="215--242",
  publisher="Elsevier",
  address="GB - Velká Británie",
  issn="1468-1218"
}