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(t) vertical bar u vertical bar(lambda) sgn u + f (t); 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"
}