On entire solutions of [f.sup.2]

We investigate the existence of entire solutions of non-linear differential equations of type [f.sup.2](z) + cf'(z) = h(z), where h(z) is a given entire function, whose zeros form an A-set. As a by-product of the studies, we give a negative answer to an open question raised in [4]. 2000 Mathema...

Full description

Saved in:
Bibliographic Details
Published inBulletin of the Belgian Mathematical Society, Simon Stevin Vol. 18; no. 5; p. 835
Main Authors Lu, Weiran, Yang, Chungchun
Format Journal Article
LanguageEnglish
Published Belgian Mathematical Society 01.12.2011
Subjects
Differential equations, Nonlinear
Existence theorems
Functional equations
Functions
China
Online AccessGet full text

Cover

More Information
Summary:We investigate the existence of entire solutions of non-linear differential equations of type [f.sup.2](z) + cf'(z) = h(z), where h(z) is a given entire function, whose zeros form an A-set. As a by-product of the studies, we give a negative answer to an open question raised in [4]. 2000 Mathematics Subject Classification : 30D35, 34A20. Key words and phrases : value distribution theory; differential equation; entire solution; generalized A--set.
ISSN:1370-1444