Duffing equation and action functional
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898309" target="_blank" >RIV/49777513:23520/11:43898309 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2010.11.042" target="_blank" >http://dx.doi.org/10.1016/j.na.2010.11.042</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2010.11.042" target="_blank" >10.1016/j.na.2010.11.042</a>
Alternative languages
Result language
angličtina
Original language name
Duffing equation and action functional
Original language description
In this paper, we investigate the periodic nonlinear second order ordinary differential equation with friction x''(t) + cx?(t) + g(t, x(t)) = f (t), t ? [0, T ], x(0) = x(T ), x?(0) = x?(T ), where c ? R, g is a Caratheodory function, f ? L^1(0, T ), a quotient g(t,s)/s lies between 0 and c^2/4+( 2pí/T )^2 and a nonlinearity g satisfies the potential Landesman-Lazer type condition.We introduce a corresponding energy functional and prove that its critical point is a classical solution to this problem.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis
ISSN
0362-546X
e-ISSN
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Volume of the periodical
74
Issue of the periodical within the volume
6
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
6
Pages from-to
2392-2397
UT code for WoS article
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EID of the result in the Scopus database
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