Oscillation of fixed points of solutions of some linear differential equations B. Belaïdi Received: June 12, 2007; Revised: September 20, 2008; Accepted: October 08, 2007 Abstract. In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f (k) + A(z) f = 0, k ³ 2, where A(z) is a transcendental meromorphic function with ρp(A) = ρ > 0 and meromorphic functions of finite iterated p-order. Keywords: Linear differential equations; Meromorphic solutions; Iterated order; Iterated exponent of convergence of the sequence of distinct zeros. AMS Subject classification: Primary: 34M10, 30D35. Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |