OSCILLATION OF FIXED POINTS OF SOLUTIONS AND THEIR DERIVATIVES OF SOME HIGHER LINEAR DIFFERENTIAL EQUATIONS

Abstract

n this paper, we investigate the relationship between solutions and their derivatives for the di ff erential equation f ( k ) + A k − 1 f ( k − 1 ) + ... + A 0 f = 0 with k ≥ 2 and entire functions of finite iterated p − order, when A j ( j = 0 , 1 ,..., k − 1 ) are entire functions of finite iterated p − order in order to generalize and extend the results given by Wang and L ̈ u, Liu and Zhang and Bela ̈ ıdi.