Address:
Department of Mathematical Sciences Florida Institute of Technology Melbourne, FL 32901, USA
Department of Mathematics, Gazi University Faculty of Arts and Sciences Teknik- okullar, 06500 Ankara, Turkey
Department of Mathematics and Computer Sciences Izmir University, Faculty of Arts and Sciences 35350 Uckuyular, Izmir, Turkey
E-mail:
agarwal@fit.edu
mfahri@gazi.edu.tr
aydin.tiryaki@izmir.edu.tr
Abstract: In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form \[ \ \left( r_{2}\left( t\right) \left( r_{1}\left( t\right) x^{\prime }\right) ^{\prime }\right) ^{\prime }+p\left( t\right) x^{\prime }+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \] We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.
AMSclassification: primary 34K11; secondary 34C10.
Keywords: oscillation, third order, functional differential equation.