Nonlinear complex differential equations with solutions in some function spaces. Issue 2 (1st February 2019)

• Record Type: Journal Article
• Authors: Sun, Yu; Long, Jianren; Hu, Guangming
• Is Part Of: Complex variables and elliptic equations. Volume 64:Issue 2(2019)
• Page Start: 300
• Page End: 314
• Publication Date: 2019-02-01
• Subjects: Nonlinear differential equation -- unit disc -- simple connected domain -- Hardy space -- Bloch space; 34M10 -- 30D35 -- 30D45; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2018.1429420
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: Sufficient conditions for their derivatives and analytic solutions of( f ( k ) ) n k + A k - 1 ( z ) ( f ( k - 1 ) ) n k - 1 + ⋯ + A 1 ( z ) ( f ′ ) n 1 + A 0 ( z ) f = A k ( z ) to be inH Φ ∞ orB α are found in this paper. On the one hand, for the case of unit disc, some generalization of earlier results given by Huusko–Korhonen–Reijonen is obtained. On the other hand, by replacing the unit disc with the simple connected domain, some sufficient conditions for their derivatives and analytic solutions of the nonlinear equations to be inH Φ ∞ orB α are also obtained.