Publication detail

Positive periodic solutions to the forced non-autonomous Duffing equations

ŠREMR, J.

Original Title

Positive periodic solutions to the forced non-autonomous Duffing equations

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

ŠREMR, J.

Released

1. 4. 2022

ISBN

1072-947X

Periodical

Georgian Mathematical Journal

Year of study

29

Number

2

State

Federal Republic of Germany

Pages from

295

Pages to

307

Pages count

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"
}