Complex Delay-Differential Equations

Kai Liu, Ilpo Laine, Lianzhong Yang

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English

De Gruyter
08 June 2021

Complex analysis, complex variables; Differential calculus & equations; Electrical engineering

Series: De Gruyter Studies in Mathematics

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.

Please submit any book proposals to Niels Jacob.

By: Kai Liu, Ilpo Laine, Lianzhong Yang
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 635g
ISBN: 9783110560169
ISBN 10: 311056016X
Series: De Gruyter Studies in Mathematics
Pages: 302
Publication Date: 08 June 2021
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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

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