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(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
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
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"
}