صندلی اداری

OSCILLATION AND ASYMPTOTIC BEHAVIOR OF HIGHER ORDER NEUTRAL NONLINEAR DIFFERENTIAL EQUATIONS

Ming-Yue Zhang, Wan-Tong Li

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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