Detail publikace

Positive periodic solutions to the forced non-autonomous Duffing equations

ŠREMR, J.

Anglický název

Positive periodic solutions to the forced non-autonomous Duffing equations

Typ

Článek WoS

Jazyk

en

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(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.

Klíčová slova anglicky

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

Vydáno

2022-04-01

ISSN

1072-947X

Ročník

29

Číslo

2

Strany od–do

295–307

Počet stran

13

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"
}