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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.
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Kai Liu, Nanchang University, China; Ilpo Laine, University of Eastern Finland, Finland; Lianzhong Yang, Shandong University, China.
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Complex Delay-Differential Equations (Studies in Mathematics)
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Hardcover. Zustand: Fine. 1st Edition. Hardcover, x + 290 pages, NOT ex-library. Book is clean and bright throughout with unmarked text, free of inscriptions and stamps, firmly bound. Issued without a dust jacket. -- An advanced and comprehensive exploration of delay-differential equations (DDEs) and their profound impact on the study of complex systems across various scientific and engineering disciplines. Authored by leading experts in the field, this book delves into the intricate mathematical structures and behaviours that arise when differential equations incorporate delay terms, leading to phenomena such as oscillations, stability switches, and complex dynamical behaviour. -- Contents: Preface; Introduction; 1 Introduction of Nevanlinna theory and its difference versions [Basic notations and facts in the Nevanlinna theory; Difference Nevanlinna theory (Elementary difference considerations in the complex domain; Difference variants of the logarithmic derivative lemma for meromorphic functions; Key notions and results in difference Nevanlinna theory)]; 2 Value distribution of complex delay-differential polynomials [Value distribution of difference polynomials; Value distribution of delay-differential polynomials; Borel exceptional values of delay-differential polynomials; The zeros of [P(f)f(z + c)](k) - [alpha](z); Zeros on delay-differential polynomials of exponential type]; 3 Uniqueness of delay-differential polynomials [Value sharing on f with its linear delay-differential operator; Uniqueness of delay-differential polynomials]; 4 Difference Wiman-Valiron theory [Differential setting of the Wiman-Valiron theory; Difference setting of the Wiman-Valiron theory; Wiman-Valiron theorems for q-differences]; 5 The linear complex delay-differential equations [First-order delay-differential equations; Higher-order linear complex delay-differential equations (Higher-order homogeneous linear complex delay-differential equations; Higher-order nonhomogeneous linear complex delay-differential equations)]; 6 Fermat-type delay-differential equations [Fermat equations; Fermat-type functional and differential equations; Fermat difference equations (Entire solutions of Fermat difference equations; Meromorphic solutions of Fermat difference equations; Fermat delay-differential equations)]; 7 Delay-differential Riccati equations [Complex differential and difference Riccati equations; Complex delay-differential Riccati equations]; 8 Malmquist-type delay-differential equations [Malmquist-type difference equations; Malmquist-type delay-differential equations]; 9 Nonlinear complex delay-differential equations [Background; Nonlinear complex delay-differential equations]; 10 Complex q-delay-differential equations [Value distribution for q-delay-differential polynomials; Uniqueness on q-delay-differential polynomials; q-delay-differential equations]; 11 Systems of complex delay-differential equations [Background; Malmquist-type delay-differential systems; Fermat-type delay-differential systems; Systems of q-delay-differential equations]; 12 Periodicity of entire functions with delay-differential polynomials [Basic results on periodic functions; Periodicity of differential, difference, and delay-differential polynomials]; Bibliography; Index. Artikel-Nr. 010358
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Complex Differential-difference Equations With Nevanlinna Theory
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Zustand: As New. Unread book in perfect condition. Artikel-Nr. 42907271
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Complex Delay-Differential Equations
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Buch. Zustand: Neu. Neuware - 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. Artikel-Nr. 9783110560169
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Complex Delay-Differential Equations
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Hardcover. Zustand: New. The series De Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical . Artikel-Nr. 579663610
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Complex Delay-Differential Equations | De Gruyter Studies in Mathematics 78
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Buch. Zustand: Neu. Complex Delay-Differential Equations | De Gruyter Studies in Mathematics 78 | Kai/Laine, Ilpo/Yang, Lianzhong Liu | Buch | X | Englisch | 2021 | De Gruyter GmbH | EAN 9783110560169 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu. Artikel-Nr. 113163720
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