Résumé:
In this paper, we investigate the iterated order of meromorphic solutions of homogeneous
and non-homogeneous to higher order linear differential equations
f (k) +
Σk−1
j=1
Aj f ( j) + A0 f = 0 (k > 2) ,
f (k) +
Σk−1
j=1
Aj f ( j) + A0 f = F (k > 2) ,
where Aj (z) ( j = 0, 1, · · · , k − 1) and F (z) are meromorphic functions with finite iterated
p−order. Under some conditions on the coefficients, we show that all meromorphic
solutions f . 0 of the above equations have an infinite iterated p−order and infinite
iterated lower p−order. Furthermore, we give some estimates of iterated convergence
exponent. We improve the results due to Chen; Shen and Xu; He, Zheng and Hu and
others.
