Opuscula Mathematica
Opuscula Math. 37, no. 6 (), 839-852
http://dx.doi.org/10.7494/OpMath.2017.37.6.839
Opuscula Mathematica

Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation




Abstract. This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.
Keywords: third order, neutral differential equations, asymptotic behavior, nonoscillatory, oscillatory solution.
Mathematics Subject Classification: 34K10, 34K11, 34K15, 34C10.
Cite this article as:
John R. Graef, Ercan Tunҫ, Said R. Grace, Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation, Opuscula Math. 37, no. 6 (2017), 839-852, http://dx.doi.org/10.7494/OpMath.2017.37.6.839
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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