Certain stability properties for meromorphic solutions of partial differential equations of the form are considered. Here the coefficients are functions of , of and the partial derivatives of . Assuming that certain growth conditions for the coefficients are valid in the preimage under of five distinct complex values, we find growth estimates, in the whole complex plane, for the order and the unintegrated Ahlfors-Shimizu characteristic .
Cite this article
G. Barsegian, Heinrich Begehr, Ilpo Laine, Stability Phenomenon for Generalizations of Algebraic Differential Equations. Z. Anal. Anwend. 21 (2002), no. 2, pp. 495–503DOI 10.4171/ZAA/1089