1.

Record Nr.

UNINA9910554254503321

Autore

Liu Kai <1964->

Titolo

Complex delay-differential equations / / Kai Liu, Ilpo Laine, and Lianzhong Yang

Pubbl/distr/stampa

Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021]

©2021

ISBN

3-11-056040-2

3-11-056056-9

Descrizione fisica

1 online resource (x, 292 pages)

Collana

De Gruyter studies in mathematics ; 78

Disciplina

515.9

Soggetti

Nevanlinna theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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.