Abstract. In this paper, the radial oscillation of the solutions of higherorder homogeneous linear differential equationf (k) + A n−2 (z)f (k−2) + ···+ A 1 (z)f ′ + A 0 (z)f = 0with transcendental entire function coefficients is studied. Results are ob-tained to extend some results in [Z. Wu and D. Sun, Angular distributionof solutions of higher order linear differential equations, J. Korean Math.Soc. 44(2007), no. 6, 1329–1338]. 1. Introduction and main resultsIn this paper, the meromorphic function always means a function beingmeromorphic in the whole complex plane C. Assume that the basic definitions,theorems and standard notations of the Nevanlinna theory for meromorphicfunction (see [11], [22] or [24]) are known. There have appeared many paperson the global theory of complex differential equations which were studied fromthe point of view of Nevanlinna theory, since 1982 when the article by Bankand Laine [1] appeared in Trans. Amer. Math. Soc. We refer the reader tothe books by Laine [12], and by Gao etc. [6]. The first general research on theradial oscillation theory of the solutions of(1) f