Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument
We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/278962 |
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| _version_ | 1832547494471401472 |
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| author | Miroslav Bartušek Mariella Cecchi Zuzana Došlá Mauro Marini |
| author_facet | Miroslav Bartušek Mariella Cecchi Zuzana Došlá Mauro Marini |
| author_sort | Miroslav Bartušek |
| collection | DOAJ |
| description | We study necessary and sufficient conditions for the oscillation of the
third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator ℒx=x‴+q(t)x′ is oscillatory. |
| format | Article |
| id | doaj-art-34873465c50c4875be38d710941966fa |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-34873465c50c4875be38d710941966fa2025-02-03T06:44:36ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/278962278962Oscillation for Third-Order Nonlinear Differential Equations with Deviating ArgumentMiroslav Bartušek0Mariella Cecchi1Zuzana Došlá2Mauro Marini3Department of Mathematics and Statistics, Masaryk University, CZ-61137 Brno, Czech RepublicDepartment of Electronic and Telecommunications, University of Florence, I-50139 Florence, ItalyDepartment of Mathematics and Statistics, Masaryk University, CZ-61137 Brno, Czech RepublicDepartment of Electronic and Telecommunications, University of Florence, I-50139 Florence, ItalyWe study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator ℒx=x‴+q(t)x′ is oscillatory.http://dx.doi.org/10.1155/2010/278962 |
| spellingShingle | Miroslav Bartušek Mariella Cecchi Zuzana Došlá Mauro Marini Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument Abstract and Applied Analysis |
| title | Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument |
| title_full | Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument |
| title_fullStr | Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument |
| title_full_unstemmed | Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument |
| title_short | Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument |
| title_sort | oscillation for third order nonlinear differential equations with deviating argument |
| url | http://dx.doi.org/10.1155/2010/278962 |
| work_keys_str_mv | AT miroslavbartusek oscillationforthirdordernonlineardifferentialequationswithdeviatingargument AT mariellacecchi oscillationforthirdordernonlineardifferentialequationswithdeviatingargument AT zuzanadosla oscillationforthirdordernonlineardifferentialequationswithdeviatingargument AT mauromarini oscillationforthirdordernonlineardifferentialequationswithdeviatingargument |