Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument
| Autor: | Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini |
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| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2010 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 34873465 |
| DOI: | 10.1155/2010/278962 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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