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2011 Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients
Mustafa Kemal Yildiz, Emrah Karaman, Hülya Durur
J. Appl. Math. 2011: 1-8 (2011). DOI: 10.1155/2011/158060

Abstract

We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [ y ( t ) + p ( t ) f ( y ( τ ( t ) ) ) ] ( n ) + q ( t ) h ( y ( σ ( t ) ) ) = 0 , t t 0 , t , where p C ( [ t 0 , ) , ) , lim t p ( t ) = 0 , q C ( [ t 0 , ) , + ) , τ ( t ) , σ ( t ) C ( [ t 0 , ) , ) , τ ( t ) , σ ( t ) < t , lim t τ ( t ) , σ ( t ) = , and f , h C ( , ) . We obtain sufficient conditions for the oscillation of all solutions of this equation.

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Mustafa Kemal Yildiz. Emrah Karaman. Hülya Durur. "Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients." J. Appl. Math. 2011 1 - 8, 2011. https://doi.org/10.1155/2011/158060

Information

Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1222.34083
MathSciNet: MR2810574
Digital Object Identifier: 10.1155/2011/158060

Rights: Copyright © 2011 Hindawi

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