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Abstract. This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional.Mathematical subject classification: 34K20.

Abstract. Sufficient conditions are established for the asymptotic behavior of a third-order nonlinear differential equation. Our results improve on Qian's [C. Qian, Asymptotic behavior of a third-order nonlinear differential equation, J. Math. Anal. Appl., 284 (2003), 191-205] Mathematics subject classification (2010): 34B15, 34C11.

Abstract. This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional.Mathematical subject classification: 34K20.