Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain
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Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain
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Author : Walter Charles Strodt
language : en
Publisher:
Release Date : 1960
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain written by Walter Charles Strodt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain
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Author : Walter Charles Strodt
language : en
Publisher: American Mathematical Soc.
Release Date : 1954
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain written by Walter Charles Strodt 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 1954 with Difference equations categories.
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain
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Author : Alexandre Grothendieck
language : en
Publisher:
Release Date : 1954
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain written by Alexandre Grothendieck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Algebraic topology 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.
Asymptotic Differential Algebra And Model Theory Of Transseries
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Author : Matthias Aschenbrenner
language : en
Publisher: Princeton University Press
Release Date : 2017-06-06
Asymptotic Differential Algebra And Model Theory Of Transseries written by Matthias Aschenbrenner and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-06 with Mathematics categories.
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations
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Author : Lamberto Cesari
language : en
Publisher: Springer
Release Date : 2013-06-29
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations written by Lamberto Cesari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain
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Author : Walter C. Strodt
language : en
Publisher:
Release Date : 1954
Contributions To The Asymptotic Theory Of Ordinary Differential Equations In The Complex Domain written by Walter C. Strodt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.
Principal Solutions Of Ordinary Differential Equations In The Complex Domain
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Author : Walter Strodt
language : en
Publisher: American Mathematical Soc.
Release Date : 1957
Principal Solutions Of Ordinary Differential Equations In The Complex Domain written by Walter Strodt 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 1957 with Differential equations categories.
Asymptotic Behavior Of Solutions And Adjunction Fields For Nonlinear First Order Differential Equations
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Author : Walter Strodt
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Asymptotic Behavior Of Solutions And Adjunction Fields For Nonlinear First Order Differential Equations written by Walter Strodt 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 1971 with Asymptotic expansions categories.
Asymptotic Treatment Of Differential Equations
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Author : A. Georgescu
language : en
Publisher: CRC Press
Release Date : 1995-05-15
Asymptotic Treatment Of Differential Equations written by A. Georgescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-15 with Mathematics categories.
The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.