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2012 Fourth-Order Differential Equation with Deviating Argument
M. Bartušek, M. Cecchi, Z. Došlá, M. Marini
Abstr. Appl. Anal. 2012: 1-17 (2012). DOI: 10.1155/2012/185242

Abstract

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.

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M. Bartušek. M. Cecchi. Z. Došlá. M. Marini. "Fourth-Order Differential Equation with Deviating Argument." Abstr. Appl. Anal. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/185242

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.34089
MathSciNet: MR2898056
Digital Object Identifier: 10.1155/2012/185242

Rights: Copyright © 2012 Hindawi

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