Classification of nonoscillatory solutions of nonlinear neutral differential equations

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2009, 2009(Special): 340-348. doi: 10.3934/proc.2009.2009.340

Classification of nonoscillatory solutions of nonlinear neutral differential equations

Mustafa Hasanbulli ^1, and Yuri V. Rogovchenko ^2,

1.	Department of Mathematics, Faculty of Arts and Sciencecs, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10, Turkey
2.	School of Pure and Applied Natural Sceinces, University of Kalmar, SE-39182 Kalmar, Sweden

Received August 2008 Revised June 2009 Published September 2009

Abstract
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Nonoscillatory solutions of a general class of second order functional neutral differential equations of the form

$(r(t)(x(t)+p(t)x(t-\tau))')'+f(t,x(\sigma_{1}(t)),x(\sigma_{2}(t)),...,x(\sigma_{n}(t)))=0$

have been classified in accordance with their asymptotic behavior.

Keywords: asymptotic behavior, nonoscillatory solutions, Nonlinear neutral differential equations, classification of solutions.

Mathematics Subject Classification: Primary: 34K12, 34K40.

Citation: Mustafa Hasanbulli, Yuri V. Rogovchenko. Classification of nonoscillatory solutions of nonlinear neutral differential equations. Conference Publications, 2009, 2009 (Special) : 340-348. doi: 10.3934/proc.2009.2009.340

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