OSCILLATION AND ASYMPTOTIC BEHAVIOR OF HIGHER ORDER NEUTRAL NONLINEAR DIFFERENTIAL EQUATIONS
Abstract
In this paper we study the oscillatory and asymptotic behavior of solutionsof higher order neutral nonlinear differential equation of the form \[(r(t)((x(t)-p(t)x(t-\tau ))^{(d)})^\delta )^{\prime }+f(t,x(t-\sigma ))=0. \]We obtain some necessary and sufficient conditions for all bounded solutionsof the above equation to be oscillatory and for the equation to have anonoscillatory solution of special form.
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