Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Functional Differential Equations

Li Gao; Yuan Hong Yu; Quan Xin Zhang

doi:10.4028/www.scientific.net/AMM.303-306.1247

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Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Functional Differential Equations
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 303-306Oscillatory and Asymptotic Behavior of Third-Order...

Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Functional Differential Equations

Abstract:

This paper is concerned with oscillatory and asymptotic behavior of solutions of a class of third-order nonlinear functional differential equations. By using the generalized Riccati transformation and the integral averaging technique, two new sufficient conditions which insure that the solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.