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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (43), 2003/

On a nonlinear differential subordination I. (English)

Authors: Georgia Irina Oros

Abstract

We find conditions on the complex-valued functions A,B,C,D in the unit disc U such that the differential inequality |A(z)z2p''(z)+B(z)p2(z)+C(z)p(z)+D(z)| < M implies |p(z)| < N, where p is analytic in U, with p(0)=0.

Faculty of Mathematics and Computer Science
Babes-Bolyai University
3400 Cluj-Napoca, Romania

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