Nonlinear differential equation and analytic function spaces. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Li, Hao; Li, Songxiao
• Is Part Of: Complex variables and elliptic equations. Volume 63:Issue 1(2018)
• Page Start: 136
• Page End: 149
• Publication Date: 2018-01-02
• Subjects: Nonlinear differential equation -- Bloch space -- analytic function spaces; 30H30 -- 30D35; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2017.1298588
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper we consider the nonlinear complex differential equation where, , are analytic in the unit disk, for all . We investigate this nonlinear differential equation from two aspects. On the one hand, we provide some sufficient conditions on coefficients such that the analytic solutions of this equation belong to the space. On the other hand, we find growth estimates for the analytic solutions of this equation if the coefficients satisfy some conditions.