Complex Delay-Differential Equations

1. Auflage 2021
ISBN: 978-3-11-056016-9
Verlag: De Gruyter

Buch, Englisch, 292 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 635 g

Reihe: ISSN

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.

Zielgruppe

Graduate students and researchers in complex analysis.

Autoren/Hrsg.

Liu, Kai

Laine, Ilpo

Yang, Lianzhong

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Preface Content Chapter 1: Introduction to Nevanlinna theory and its difference version 1.1: Nevanlinna theory 1.2 Difference analogue of Nevanlinna theory Chapter 2: Value distribution of complex differential-difference polynomials 2.1 Differential-difference versions of standard classical results 2.2 Uniqueness theory for complex D-D polynomials Chapter 3: Local theory of complex differential-difference equations 3.1 Power series solutions 3.2 Fixed points Chapter 4; Linear complex differential-difference equations 4.1 Operator theory 4.2 Infinite order differential equations 4.3 First order D-D equations 4.4 Higher order D-D equations Chapter 5: Nonlinear complex differential-difference equations 5.1 Fermat type D-D equations 5.2 Riccati type D-D equations 5.3 Malmquist type D-D equations 5.4 Other non-linear D-D equations Chapter 6: Complex q-difference differential equations Chapter 7: Systems of complex differential-difference equations Chapter 8: Applications Bibliography

Über Autor(innen)

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