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Author : Heli Silvennoinen
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book Meromorphic Solutions of Some Composite Functional Equations written by Heli Silvennoinen and published by . This book was released on 2003 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Aczel
Publisher : Courier Corporation
ISBN 13 : 0486445232
Total Pages : 548 pages
Book Rating : 4.4/5 (864 download)
Download or read book Lectures on Functional Equations and Their Applications written by J. Aczel and published by Courier Corporation. This book was released on 2006-02-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
Author : Kwok-Kin Wong
Publisher : Open Dissertation Press
ISBN 13 : 9781361281901
Total Pages : pages
Book Rating : 4.2/5 (819 download)
Download or read book Exact Meromorphic Solutions of Complex Algebraic Differential Equations written by Kwok-Kin Wong and published by Open Dissertation Press. This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Exact Meromorphic Solutions of Complex Algebraic Differential Equations" by Kwok-kin, Wong, 黃國堅, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: For any given complex algebraic ordinary differential equation (ODE), one major task of both pure and applied mathematicians is to find explicit meromorphic solutions due to their extensive applications in science. In 2010, Conte and Ng in [12] proposed a new technique for solving complex algebraic ODEs. The method consists of an idea due to Eremenko in [20] and the subequation method of Conte and Musette, which was first proposed in [9]. Eremenko's idea is to make use of the Nevanlinna theory to analyze the value distribution and growth rate of the solutions, from which one would be able to show that in some cases, all the meromorphic solutions of the studied differential equation are in a class of functions called "class W," which consists of elliptic functions and their degenerates. The establishment of solutions is then achieved by the subequation method. The main idea is to build subequations which have solutions that also satisfy the original differential equation, hoping that the subequations will be easier to solve. As in [12], the technique has been proven to be very successful in obtaining explicit particular meromorphic solutions as well as giving complete classification of meromorphic solutions. In this thesis, the necessary theoretical background, including the Nevanlinna theory and the subequation method, will be developed. The technique will then be applied to obtain all meromorphic stationary wave solutions of the real cubic Swift-Hohenberg equation (RCSH). This last part is joint work with Conte and Ng and will appear in Studies in Applied Mathematics [13]. RCSH is important in several studies in physics and engineering problems. For instance, RCSH is used as modeling equation for Rayleigh- B?nard convection in hydrodynamics [43] as well as in pattern formation [16]. Among the explicit stationary wave solutions obtained by the technique used in this thesis, one of them appears to be new and could be written down as a rational function composite with Weierstrass elliptic function. DOI: 10.5353/th_b4833021 Subjects: Differential-algebraic equations
Author : Sui Sun Cheng
Publisher : World Scientific
ISBN 13 : 9814471720
Total Pages : 296 pages
Book Rating : 4.8/5 (144 download)
Download or read book Analytic Solutions Of Functional Equations written by Sui Sun Cheng and published by World Scientific. This book was released on 2008-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.
Author :
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)
Download or read book Computational Methods and Function Theory written by and published by . This book was released on 2005 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annales Academiae Scientiarum Fennicae written by and published by . This book was released on 2007 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilpo Laine
Publisher : Walter de Gruyter
ISBN 13 : 3110863146
Total Pages : 353 pages
Book Rating : 4.1/5 (18 download)
Download or read book Nevanlinna Theory and Complex Differential Equations written by Ilpo Laine and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alex Hellsten
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (318 download)
Download or read book Diamonds on Large Cardinals written by Alex Hellsten and published by . This book was released on 2003 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Vogeler
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book Combinatorics of Curves on Hurwitz Surfaces written by Roger Vogeler and published by . This book was released on 2004 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Naval Research Office
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (3 download)
Download or read book Factorization of Meromophic Functions written by United States. Naval Research Office and published by . This book was released on 1972 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikko Pere
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (318 download)
Download or read book The Eigenvalue Problem of the P-Laplacian in Metric Spaces written by Mikko Pere and published by . This book was released on 2004 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roman Goebel
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (318 download)
Download or read book The Group of Orbit Preserving G-homeomorphisms of an Equivariant Simplex for G written by Roman Goebel and published by . This book was released on 2005 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikko Salo
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (318 download)
Download or read book Inverse Problems for Nonsmooth First Order Perturbations of the Laplacian written by Mikko Salo and published by . This book was released on 2004 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xiaonan Li
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (318 download)
Download or read book On Hyperbolic Q Classes written by Xiaonan Li and published by . This book was released on 2005 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikko Kuusela
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 ( download)
Download or read book Large Deviations of Zeroes and Fixed Points of Random Maps with Applications to Equilibrium Economics written by Mikko Kuusela and published by . This book was released on 2004 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shek-Tung Wong
Publisher : American Mathematical Soc.
ISBN 13 : 9780821861462
Total Pages : 226 pages
Book Rating : 4.8/5 (614 download)
Download or read book The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Groups written by Shek-Tung Wong and published by American Mathematical Soc.. This book was released on 1990-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: We carry out, in the context of an algebraic group and an arithmetic subgroup, an idea of Selberg for continuing Eisenstein series. It makes use of the theory of integral operators. The meromorphic continuation and functional equation of an Eisenstein series constructed with a cusp form on the Levi component of a rank one cuspidal subgroup are established.
