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Publication detail
ŠREMR, J.
Original Title
Positive periodic solutions to the forced non-autonomous Duffing equations
Type
journal article in Web of Science
Language
English
Original Abstract
We study the existence and multiplicity of positive solutions to the periodic problem for a forced non-autonomous Duffing equation $$ u '' = p(t)u - h(tu)|u|^{\lambda} + f(t);\quad u(0) = u(\omega),\ u'(0) = u'(\omega), $$ 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
Periodic solution;second-order differential equation;Duffing equation;existence;multiplicity;positive solution
Authors
Released
1. 4. 2022
ISBN
1072-947X
Periodical
Georgian Mathematical Journal
Year of study
29
Number
2
State
Federal Republic of Germany
Pages from
295
Pages to
307
Pages count
13
URL
https://www.degruyter.com/document/doi/10.1515/gmj-2021-2118/html
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" }