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Licensed Unlicensed Requires Authentication Published by De Gruyter 2021

7 Delay-differential Riccati equations

From the book Complex Delay-Differential Equations

  • Kai Liu , Ilpo Laine and Lianzhong Yang
https://doi.org/10.1515/9783110560565-007

Abstract

This chapter is devoted to delay-differential Riccati equations in the complex plane. As a background, we shortly recall some essential properties of differential and difference Riccati equations. For more details on differential Riccati equations, the reader may consult [6] and [120, Chapter 9 ].

© 2021 Walter de Gruyter GmbH, Berlin/Munich/Boston
From the book
Complex Delay-Differential Equations
Complex Delay-Differential Equations

Chapters in this book (18)

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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