Abstract
We investigate the existence and the form of subnormal solutions of higher-order linear periodic differential equations, and precisely estimate the growth of all solutions.
Highlights
Introduction and ResultsIn this paper we use standard notations from the value distribution theory see 1–3
We conclude that if all constant terms of Pj are equal to zero under the conditions deg Ps > degPj j / s and P0 /≡ 0, 1.11 has no nontrivial subnormal solution, and we prove that all solutions of 1.11 satisfy σ2 f 1
We firstly investigate the existence of subnormal solutions
Summary
Received 14 July 2010; Revised 22 October 2010; Accepted 12 November 2010 Academic Editor: Irena Lasiecka Copyright q 2010 Z.-X. We investigate the existence and the form of subnormal solutions of higher-order linear periodic differential equations, and precisely estimate the growth of all solutions
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