Publication detail

Positive periodic solutions to the forced non-autonomous Duffing equations

ŠREMR, J.

English title

Positive periodic solutions to the forced non-autonomous Duffing equations

Type

journal article in Web of Science

Language

en

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.

English 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 in English

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

Released

01.04.2022

ISSN

1072-947X

Volume

29

Number

2

Pages from–to

295–307

Pages count

13

BIBTEX


@article{BUT177568,
  author="Jiří {Šremr},
  title="Positive periodic solutions to the forced non-autonomous Duffing equations",
  year="2022",
  volume="29",
  number="2",
  month="April",
  pages="295--307",
  issn="1072-947X"
}