Meromorphic Solutions Of Differential And Difference Equations With Deficiencies
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Meromorphic Solutions Of Differential And Difference Equations With Deficiencies
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Author : Risto Korhonen
language : en
Publisher:
Release Date : 2002
Meromorphic Solutions Of Differential And Difference Equations With Deficiencies written by Risto Korhonen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Difference equations categories.
Painlev Differential Equations In The Complex Plane
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Author : Valerii I. Gromak
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Painlev Differential Equations In The Complex Plane written by Valerii I. Gromak and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
This book is the first comprehensive treatment of Painlevé differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painlevé transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Bäcklund transformations and higher order analogues, treated separately for each of these six equations. The final chapter offers a short overview of applications of Painlevé equations, including an introduction to their discrete counterparts. Due to the present important role of Painlevé equations in physical applications, this monograph should be of interest to researchers in both mathematics and physics and to graduate students interested in mathematical physics and the theory of differential equations.
Asymptotical Behaviour Of A Semilinear Diffusion Equation
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Author : Ville Ramula
language : en
Publisher:
Release Date : 2006
Asymptotical Behaviour Of A Semilinear Diffusion Equation written by Ville Ramula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations, Nonlinear categories.
Galois Theories Of Linear Difference Equations An Introduction
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Author : Charlotte Hardouin
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-27
Galois Theories Of Linear Difference Equations An Introduction written by Charlotte Hardouin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-27 with Mathematics categories.
This book is a collection of three introductory tutorials coming out of three courses given at the CIMPA Research School “Galois Theory of Difference Equations” in Santa Marta, Columbia, July 23–August 1, 2012. The aim of these tutorials is to introduce the reader to three Galois theories of linear difference equations and their interrelations. Each of the three articles addresses a different galoisian aspect of linear difference equations. The authors motivate and give elementary examples of the basic ideas and techniques, providing the reader with an entry to current research. In addition each article contains an extensive bibliography that includes recent papers; the authors have provided pointers to these articles allowing the interested reader to explore further.
Nevanlinna Theory Normal Families And Algebraic Differential Equations
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Author : Norbert Steinmetz
language : en
Publisher: Springer
Release Date : 2017-07-24
Nevanlinna Theory Normal Families And Algebraic Differential Equations written by Norbert Steinmetz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-24 with Mathematics categories.
This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents advances made since Hayman’s work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman–Pang method of re-scaling to algebraic differential equations, and presents the Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions. Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.
Combinatorics Of Curves On Hurwitz Surfaces
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Author : Roger Vogeler
language : en
Publisher:
Release Date : 2004
Combinatorics Of Curves On Hurwitz Surfaces written by Roger Vogeler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Automorphisms categories.
Nevanlinna Theory And Complex Differential Equations
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Author : Ilpo Laine
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-01
Nevanlinna Theory And Complex Differential Equations written by Ilpo Laine and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Mathematics categories.
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. 30 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.
Generalized Solutions Of Functional Differential Equations
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Author : Joseph Wiener
language : en
Publisher: World Scientific
Release Date : 1993
Generalized Solutions Of Functional Differential Equations written by Joseph Wiener and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Applied Mathematics Modeling And Computer Simulation
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Author : C.-H. Chen
language : en
Publisher: IOS Press
Release Date : 2022-02-25
Applied Mathematics Modeling And Computer Simulation written by C.-H. Chen and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-25 with Computers categories.
The pervasiveness of computers in every field of science, industry and everyday life has meant that applied mathematics, particularly in relation to modeling and simulation, has become ever more important in recent years. This book presents the proceedings of the 2021 International Conference on Applied Mathematics, Modeling and Computer Simulation (AMMCS 2021), hosted in Wuhan, China, and held as a virtual event from 13 to 14 November 2021. The aim of the conference is to foster the knowledge and understanding of recent advances across the broad fields of applied mathematics, modeling and computer simulation, and it provides an annual platform for scholars and researchers to communicate important recent developments in their areas of specialization to colleagues and other scientists in related disciplines. This year more than 150 participants were able to exchange knowledge and discuss recent developments via the conference. The book contains 115 peer-reviewed papers, selected from more than 250 submissions and ranging from the theoretical and conceptual to the strongly pragmatic and all addressing industrial best practice. Topics covered include mathematical modeling and applications, engineering applications and scientific computations, and the simulation of intelligent systems. Providing an overview of recent development and with a mix of practical experiences and enlightening ideas, the book will be of interest to researchers and practitioners everywhere.
Annales Academiae Scientiarum Fennicae
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Author :
language : en
Publisher:
Release Date : 2002
Annales Academiae Scientiarum Fennicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Electronic journals categories.