OSCILLATION BEHAVIOR OF SOLUTIONS FOR EVEN ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Author (s) : P.Muthukumar, C.Nandhini, S.K.Ganesh Babu, R.Kasthuri

---

Abstract :
Even order neutral functional differential equations are considered. Sufficient conditions for the oscillation behavior of solutions for this differential equation are presented. The new results are presented and some examples are also given. In this paper, we study the oscillatory behavior of the solutions of the nth-order mixed neutral functional differential equations with distributed deviating arguments of the form. Later Grace extended these equations to nth-order equations when n is odd and when n is even. In recent years, Candan and Dahiya obtained some results with distributed delay which motivate us in this paper in some sense. For related books we refer to a solution of Equation, which is nontrivial for all large t, is called oscillatory if it has no last zero.

Keywords : Neutral differential equations; oscillations; distributed deviating arguments.

Conference Date : 30/08/2019

Pages : 224

Paper ID : 19215