Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU141541" target="_blank" >RIV/00216305:26210/21:PU141541 - isvavai.cz</a>

Result on the web

<a href="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9185" target="_blank" >http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9185</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14232/ejqtde.2021.1.62" target="_blank" >10.14232/ejqtde.2021.1.62</a>

Result language

angličtina

Original language name

Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations

Original language description

The paper studies the existence, exact multiplicity, and a structure of the set of positive solutions to the periodic problem u''=p(t)u+q(t,u)u+f (t); u(0)=u(omega), u'(0)=u'(omega), where p, fin L([0,omega]) and q : [0,omega]times Rto R is Carathéodory function. Obtained general results are applied to the forced non-autonomous Duffing equation u'' = p(t)u+h(t)|u|^lambdasgn u+f (t), with lambda>1 and a non-negative hin L([0,omega]). We allow the coefficient p and the forcing term f to change their signs.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

—

Volume of the periodical

2021

Issue of the periodical within the volume

62

Country of publishing house

HU - HUNGARY

Number of pages

33

Pages from-to

1-33

UT code for WoS article

000697312800001

EID of the result in the Scopus database

2-s2.0-85115755158