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"
}