Oscillatory solutions of nonlinear fourth order differential equations with a middle term
We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator $x^{(4)} + x''$ and completes t...
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University of Szeged
2014-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3354 |
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doaj-3165518bd296402b9c014710ba094bcf2021-07-14T07:21:26ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752014-11-012014551910.14232/ejqtde.2014.1.553354Oscillatory solutions of nonlinear fourth order differential equations with a middle termMiroslav Bartusek0Zuzana Dosla1Masaryk University, Brno, Czech RepublicMasaryk University, Brno, Czech RepublicWe study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator $x^{(4)} + x''$ and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3354fourth order nonlinear differential equationoscillatory solutionoscillation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Miroslav Bartusek Zuzana Dosla |
| spellingShingle |
Miroslav Bartusek Zuzana Dosla Oscillatory solutions of nonlinear fourth order differential equations with a middle term Electronic Journal of Qualitative Theory of Differential Equations fourth order nonlinear differential equation oscillatory solution oscillation |
| author_facet |
Miroslav Bartusek Zuzana Dosla |
| author_sort |
Miroslav Bartusek |
| title |
Oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| title_short |
Oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| title_full |
Oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| title_fullStr |
Oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| title_full_unstemmed |
Oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| title_sort |
oscillatory solutions of nonlinear fourth order differential equations with a middle term |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2014-11-01 |
| description |
We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator $x^{(4)} + x''$ and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation. |
| topic |
fourth order nonlinear differential equation oscillatory solution oscillation |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3354 |
| work_keys_str_mv |
AT miroslavbartusek oscillatorysolutionsofnonlinearfourthorderdifferentialequationswithamiddleterm AT zuzanadosla oscillatorysolutionsofnonlinearfourthorderdifferentialequationswithamiddleterm |
| _version_ |
1721303573506031616 |