Detail publikace

On periodic solutions to second-order Duffing type equations

LOMTATIDZE, A. ŠREMR, J.

Originální název

On periodic solutions to second-order Duffing type equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

periodic solution;Duffing type equation;positive solution

Autoři

LOMTATIDZE, A.; ŠREMR, J.

Vydáno

1. 1. 2018

Nakladatel

Elsevier

Místo

GB - Velká Británie

ISSN

1468-1218

Periodikum

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Ročník

2018

Číslo

40

Stát

Nizozemsko

Strany od

215

Strany do

242

Strany počet

28

URL

http://www.sciencedirect.com/science/article/pii/S1468121817301335?via%3Dihub

BibTex

@article{BUT141842,
  author="Aleksandre {Lomtatidze} and Jiří {Šremr}",
  title="On periodic solutions to second-order Duffing type equations",
  journal="NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS",
  year="2018",
  volume="2018",
  number="40",
  pages="215--242",
  doi="10.1016/j.nonrwa.2017.09.001",
  issn="1468-1218",
  url="http://www.sciencedirect.com/science/article/pii/S1468121817301335?via%3Dihub"
}