Complex Delay-Differential Equations

Kai Liu; Ilpo Laine; Lianzhong Yang

Published by De Gruyter 2021

Complex Delay-Differential Equations

Kai Liu

, Ilpo Laine

and Lianzhong Yang

Volume 78 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110560565

Overview
Contents

About this book

This book presents developments and new results on complex differential-difference equations, an area with important and interesting applications, which also gathers increasing attention. Key problems, methods, and results related to complex differential-difference equations are collected to offer an up-to-date overview of the field.

Presents recent developments and new results on complex differential-difference equations.

Collects key problems in the area.

Of interest to graduate students and researchers working in complex analysis and applications.

Author information

Kai Liu, Nanchang University, China; Ilpo Laine, University of Eastern Finland, Finland; Lianzhong Yang, Shandong University, China.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Preface Publicly Available Download PDF	VII
Introduction Publicly Available Download PDF	IX
1 Introduction of Nevanlinna theory and its difference versions Requires Authentication Unlicensed Licensed Download PDF	1
2 Value distribution of complex delay-differential polynomials Requires Authentication Unlicensed Licensed Download PDF	21
3 Uniqueness of delay-differential polynomials Requires Authentication Unlicensed Licensed Download PDF	67
4 Difference Wiman–Valiron theory Requires Authentication Unlicensed Licensed Download PDF	87
5 The linear complex delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	93
6 Fermat-type delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	117
7 Delay-differential Riccati equations Requires Authentication Unlicensed Licensed Download PDF	149
8 Malmquist-type delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	163
9 Nonlinear complex delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	195
10 Complex q-delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	213
11 Systems of complex delay-differential equations Requires Authentication Unlicensed Licensed Download PDF	241
12 Periodicity of entire functions with delay-differential polynomials Requires Authentication Unlicensed Licensed Download PDF	255
Bibliography Requires Authentication Unlicensed Licensed Download PDF	279
Index Requires Authentication Unlicensed Licensed Download PDF	289

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate students and researchers in complex analysis.
Pages
- Front matter: 10
- Main content: 292
Keywords: Funktionentheorie; Komplexe Differentialgleichung; Nevanlinna-Theorie

eBook

Published: June 8, 2021
ISBN: 9783110560565

Hardcover

Published: June 8, 2021
ISBN: 9783110560169