Detail publikace

Positive periodic solutions to the forced non-autonomous Duffing equations

ŠREMR, J.

Originální název

Positive periodic solutions to the forced non-autonomous Duffing equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

We study the existence and multiplicity of positive solutions to the periodic problem for a forced non-autonomous Duffing equation $$ u '' = p(t)u - h(tu)|u|^{\lambda} + f(t);\quad u(0) = u(\omega),\ u'(0) = u'(\omega), $$ where $p,h,f$ is an element of $L([0,\omega])$ and $\lambda>1$. The obtained results are compared with the results known for the equa- tions with constant coefficients.

Klíčová slova

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

Autoři

ŠREMR, J.

Vydáno

1. 4. 2022

ISSN

1072-947X

Periodikum

Georgian Mathematical Journal

Ročník

29

Číslo

2

Stát

Spolková republika Německo

Strany od

295

Strany do

307

Strany počet

13

URL

https://www.degruyter.com/document/doi/10.1515/gmj-2021-2118/html

BibTex

@article{BUT177568,
  author="Jiří {Šremr}",
  title="Positive periodic solutions to the forced non-autonomous Duffing equations",
  journal="Georgian Mathematical Journal",
  year="2022",
  volume="29",
  number="2",
  pages="295--307",
  doi="10.1515/gmj-2021-2118",
  issn="1072-947X",
  url="https://www.degruyter.com/document/doi/10.1515/gmj-2021-2118/html"
}