Research Communication | Open Access
Volume 2020 | Communication ID 97 |

Some Results on the Growth of Solutions to Higher Order Linear Differential Equations

Mansouria Saidani, Benharrat BelaÏdi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
17 January 2020
01 February 2020
10 March 2020

Abstract: The purpose of this work is to study the growth of solutions of higher order linear differential equations f^((k))+〖A_(k-1) f〗^((k-1) )+⋯+A_1 f^'+A_0 f=0, f^((k))+〖A_(k-1) f〗^((k-1) )+⋯+A_1 f^'+A_0 f=F, where A_0(6≠0),A_1,…,A_(k-1), F are entire functions of finite iterated p-order. Under some conditions, we improve and extend some results and we obtain general estimates of the iterated convergence exponent and the iterated p-order of solutions for the above equations. Our results are an extension of [1] and[4].