Detail publikace
On periodic solutions to second-order Duffing type equations
LOMTATIDZE, A. ŠREMR, J.
Originální název
On periodic solutions to second-order Duffing type equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
Sufficient and necessary conditions are found for the existence of a positive periodic solution to the Duffing type equation u"=p(t)u+q(t,u)u. The results obtained are compared with facts well known for the autonomous Duffing equation y"+ay-by3=0. Uniqueness of solutions and possible generalizations are discussed, as well.
Klíčová slova
periodic solution;Duffing type equation;positive solution
Autoři
LOMTATIDZE, A.; ŠREMR, J.
Vydáno
1. 1. 2018
Nakladatel
Elsevier
Místo
GB - Velká Británie
ISSN
1468-1218
Periodikum
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Ročník
2018
Číslo
40
Stát
Nizozemsko
Strany od
215
Strany do
242
Strany počet
28
URL
BibTex
@article{BUT141842,
author="Aleksandre {Lomtatidze} and Jiří {Šremr}",
title="On periodic solutions to second-order Duffing type equations",
journal="NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS",
year="2018",
volume="2018",
number="40",
pages="215--242",
doi="10.1016/j.nonrwa.2017.09.001",
issn="1468-1218",
url="http://www.sciencedirect.com/science/article/pii/S1468121817301335?via%3Dihub"
}