Forced Duffing Equation With a Resonance Condition

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00504581" target="_blank" >RIV/49777513:23520/10:00504581 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Forced Duffing Equation With a Resonance Condition

Original language description

This article is devoted to the study of the existence of a solution to the periodic nonlinear second order ordinary differential equation with damping u''(x) + c u'(x) + g(x; u(x)) = f(x) ; x 2 [0; T] ; u(0) = u(T) ; u'(0) = u'(T) ; where c in R, g is aCaratheodory function, f in L^1([0; T]) , a quotient g(x;s)/s lies between 0 and c^2/4 + (2?/T)^2 and a nonlinearity g satisfies Landesman Lazer type condition near the zero. The techniques we use are a variational method and a critical point theorem.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

ADVANCED NONLINEAR STUDIES

ISSN

1536-1365

e-ISSN

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Volume of the periodical

10

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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