Title of article :
Oscillation and Fixed Points of Derivatives of Solutionsof Some Linear Differential Equations
Author/Authors :
El Farissi, Abdallah Bechar University - Faculty of Sciences and Technology, Algeria , Belaidi, Benharrat University of Mostaganem (UMAB) - Department of Mathematics, Laboratory of Pure and Applied Mathematics, Algeria
Abstract :
In this paper, we investigate the relationship between solutions and theirderivatives of the differential equation f(k) + Af = 0 for k≥2 and meromorphicfunctions of infinite iterated p-order, where A is a meromorphic function of finiteiterated p-order ρp (A) = ρ. We also study the oscillation theory of derivatives of thenonhomogeneous differential equation f(k) + Af = F for k ≥ 2.
Keywords :
Linear differential equations , meromorphic solutions , iterated p , order , iterated exponent of convergence of the sequence of distinct zeros
Journal title :
Matematika
Journal title :
Matematika