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Journal of Applied Mathematics and Stochastic Analysis 
Volume 2005 (2005), Issue 1, Pages 29-35
doi:10.1155/JAMSA.2005.29

On the asymptotic behavior of solutions of certain third-order nonlinear differential equations

Cemil Tunç

Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yıl University, Van 65080, Turkey

Received 25 April 2004; Revised 15 July 2004

Abstract

We establish sufficient conditions under which all solutions of the third-order nonlinear differential equation x ⃛+ψ(x,x˙,x¨)x¨+f(x,x˙)=p(t,x,x˙,x¨) are bounded and converge to zero as t→∞.