TY - JOUR
AU - El Farissi, Abdallah
AU - Bela¨ıdi, Benharrat
PY - 2014/12/01
Y2 - 2024/05/22
TI - Oscillation and fixed points of derivatives of solutions of some linear differential equations
JF - MATEMATIKA
JA - MATEMATIKA
VL - 30
IS - 0
SE - Mathematics
DO - 10.11113/matematika.v30.n.707
UR - https://matematika.utm.my/index.php/matematika/article/view/707
SP - 159-168
AB - 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 Pp (A) = P. We also study the oscillation theory of derivatives of the nonhomogeneous 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. 2010 Mathematics Subject Classification: 34M10, 30D35.
ER -