Oscillation and fixed points of derivatives of solutions of some linear differential equations

Abstract

In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f(k) + Af = 0 for k > 2 and meromorphic functions of infinite iterated p-order, where A is a meromorphic function of finite iterated p-order p (A) = . We also study the oscillation theory of derivatives of the nonhomogeneous differential equation f(k) + Af = F for k > 2.