Fourth-Order Differential Equation with Deviating Argument
| Autor: | M. Bartušek, M. Cecchi, Z. Došlá, M. Marini |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2012 (2012) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2012/185242 |
| Popis: | We consider the fourth-order differential equation with middle-term and deviating argument x(4)(t)+q(t)x(2)(t)+r(t)f(x(φ(t)))=0, in case when the corresponding second-order equation h″+q(t)h=0 is oscillatory. Necessary and sufficient conditions for the existence of bounded and unbounded asymptotically linear solutions are given. The roles of the deviating argument and the nonlinearity are explained, too. |
| Databáze: | Directory of Open Access Journals |
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