We consider a fourth-order differential equation with middle-term and deviating argument in case when the corresponding second-order equation 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.
Fourth-Order Differential Equation with Deviating Argument / M. Bartusek; M. Cecchi; Z. Dosla; M. Marini. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - ELETTRONICO. - 2012, Article ID 185242:(2012), pp. 1-17. [10.1155/2012/185242]
Fourth-Order Differential Equation with Deviating Argument
CECCHI, MARIELLA;MARINI, MAURO
2012
Abstract
We consider a fourth-order differential equation with middle-term and deviating argument in case when the corresponding second-order equation 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.
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