Complex Delay-Differential Equations

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 a...

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Bibliographic Details
Main Author: Liu, Ka
Other Authors: Laine, Ilpo, Yang, Lianzhong
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2021, ©2021
Series:De Gruyter Studies in Mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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505 0 |a Frontmatter -- Contents -- Preface -- Introduction -- 1 Introduction of Nevanlinna theory and its difference versions -- 2 Value distribution of complex delay-differential polynomials -- 3 Uniqueness of delay-differential polynomials -- 4 Difference Wiman-Valiron theory -- 5 The linear complex delay-differential equations -- 6 Fermat-type delay-differential equations -- 7 Delay-differential Riccati equations -- 8 Malmquist-type delay-differential equations -- 9 Nonlinear complex delay-differential equations -- 10 Complex q-delay-differential equations -- 11 Systems of complex delay-differential equations -- 12 Periodicity of entire functions with delay-differential polynomials -- Bibliography -- Index 
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520 3 |a 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.