Admissible solutions of higher order differential equations
نویسندگان
چکیده
منابع مشابه
Oscillation of solutions of some higher order linear differential equations
We shall assume that reader is familiar with the fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic functions(see [11,14]). In addition, we will use the notation σ(f) to denote the order of growth of entire function f(z), σ2(f) to denote the hyper-order of f(z), λ(f)(λ2(f)) to denote the exponent(hyper-exponent) of convergence of the zero-s...
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Abstract. In this paper, we investigate the higher-order linear differential equations with meromorphic coefficients. We improve and extend a result of M.S. Liu and C.L. Yuan, by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen, and the extended Winman-Valiron theory which proved by J. Wang and H.X. Yi. In addition, we also consider th...
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I. Kiguradze,1 N. Partsvania,1 and B. Půža2 1 Andrea Razmadze Mathematical Institute, 1 Aleksidze Street, 0193 Tbilisi, Georgia 2Department of Mathematics and Statistics, Masaryk University, Janáčkovo nám. 2a, 66295 Brno, Czech Republic Correspondence should be addressed to I. Kiguradze, [email protected] Received 8 September 2007; Accepted 23 January 2008 Recommended by Donal O’Regan For higher...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1989
ISSN: 0386-2194
DOI: 10.3792/pjaa.65.4