American Institute of Mathematical Sciences

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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

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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