Nonlinear Boundary Value Problems For Holomorphic Functions And Singular Integral Equations

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Nonlinear Boundary Value Problems for Holomorphic Functions and Singular Integral Equations

Author : Elias Wegert
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Boundary Value Problems for Holomorphic Functions and Singular Integral Equations by : Elias Wegert

Download or read book Nonlinear Boundary Value Problems for Holomorphic Functions and Singular Integral Equations written by Elias Wegert and published by Wiley-VCH. This book was released on 1992-05-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers various topics in nonlinear boundary value problems for holomorphic functions, including existence and uniqueness results, questions concerning parameter dependence, regularity theorems, several procedures for numerically solving such problems, and applications to nonlinear singular integral equations. The emphasis is mainly on geometric aspects. Numerical methods are discussed. This text requires only an elementary knowledge of function theory. Includes a 13-page bibliography. Distributed in the US by VCH. Annotation copyright by Book News, Inc., Portland, OR

Boundary Value Problems For Analytic Functions

Author : Jian-ke Lu
Publisher : World Scientific
ISBN 13 : 9814518026
Total Pages : 482 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems For Analytic Functions by : Jian-ke Lu

Download or read book Boundary Value Problems For Analytic Functions written by Jian-ke Lu and published by World Scientific. This book was released on 1994-02-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincaré-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.

Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 981454311X
Total Pages : 338 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference written by Guo Chun Wen and published by World Scientific. This book was released on 2000-02-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

An Introduction to Nonlinear Boundary Value Problems

Author : Stephen R. Bernfeld
Publisher :
ISBN 13 : 9780120931507
Total Pages : 386 pages
Book Rating : 4.9/5 (315 download)

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Book Synopsis An Introduction to Nonlinear Boundary Value Problems by : Stephen R. Bernfeld

Download or read book An Introduction to Nonlinear Boundary Value Problems written by Stephen R. Bernfeld and published by . This book was released on 1974-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to nonlinear boundary value problems.

Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 981451831X
Total Pages : 436 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference written by Guo Chun Wen and published by World Scientific. This book was released on 2010-12-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems.Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc.

Boundary Value Problems

Author : Fedor Dmitrievich Gakhov
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Boundary Value Problems by : Fedor Dmitrievich Gakhov

Download or read book Boundary Value Problems written by Fedor Dmitrievich Gakhov and published by . This book was released on 1966 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

Author : v Mityushev
Publisher : CRC Press
ISBN 13 : 9781584880578
Total Pages : 300 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions by : v Mityushev

Download or read book Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions written by v Mityushev and published by CRC Press. This book was released on 1999-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

Boundary Value Problems, Integral Equations and Related Problems

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327859
Total Pages : 436 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc.

Boundary Value Problems

Author : F. D. Gakhov
Publisher : Courier Corporation
ISBN 13 : 9780486662756
Total Pages : 596 pages
Book Rating : 4.6/5 (627 download)

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Book Synopsis Boundary Value Problems by : F. D. Gakhov

Download or read book Boundary Value Problems written by F. D. Gakhov and published by Courier Corporation. This book was released on 1990-01-01 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.

Singularly Perturbed Boundary Value Problems

Author : Matteo Dalla Riva
Publisher : Springer Nature
ISBN 13 : 3030762599
Total Pages : 672 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Singularly Perturbed Boundary Value Problems by : Matteo Dalla Riva

Download or read book Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and published by Springer Nature. This book was released on 2021-10-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems

Author : D. B. Ingham
Publisher : Springer Science & Business Media
ISBN 13 : 3642823300
Total Pages : 165 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by : D. B. Ingham

Download or read book Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems written by D. B. Ingham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.

Partial Differential and Integral Equations

Author : Heinrich Begehr
Publisher : Springer Science & Business Media
ISBN 13 : 9780792354826
Total Pages : 388 pages
Book Rating : 4.3/5 (548 download)

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Book Synopsis Partial Differential and Integral Equations by : Heinrich Begehr

Download or read book Partial Differential and Integral Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.

Numerical-analytic Methods in the Theory of Boundary-value Problems

Author : Nikola? Iosifovich Ronto
Publisher : World Scientific
ISBN 13 : 9789810236762
Total Pages : 470 pages
Book Rating : 4.2/5 (367 download)

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Book Synopsis Numerical-analytic Methods in the Theory of Boundary-value Problems by : Nikola? Iosifovich Ronto

Download or read book Numerical-analytic Methods in the Theory of Boundary-value Problems written by Nikola? Iosifovich Ronto and published by World Scientific. This book was released on 2000 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory ? namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari-Hale and Lyapunov-Schmidt methods.

Waves and Boundary Problems

Author : Sergey G. Glebov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110533901
Total Pages : 559 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Waves and Boundary Problems by : Sergey G. Glebov

Download or read book Waves and Boundary Problems written by Sergey G. Glebov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.

Boundary Value Problems and Integral Equations in Nonsmooth Domains

Author : Martin Costabel
Publisher : CRC Press
ISBN 13 : 9780824793203
Total Pages : 320 pages
Book Rating : 4.7/5 (932 download)

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Book Synopsis Boundary Value Problems and Integral Equations in Nonsmooth Domains by : Martin Costabel

Download or read book Boundary Value Problems and Integral Equations in Nonsmooth Domains written by Martin Costabel and published by CRC Press. This book was released on 1994-10-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined.

Theory of Singular Boundary Value Problems

Author : Donal O'Regan
Publisher : World Scientific
ISBN 13 : 9810217609
Total Pages : 173 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Theory of Singular Boundary Value Problems by : Donal O'Regan

Download or read book Theory of Singular Boundary Value Problems written by Donal O'Regan and published by World Scientific. This book was released on 1994 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys some topics in the rapidly developing areas of regular and singular boundary value problems. It also provides a detailed account of the current state of the literature on existence theory for ordinary differential equations. Results are presented for finite and semi-infinite intervals. Singularities in both independent and dependent variables are discussed.

Mixed Boundary Value Problems

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1420010948
Total Pages : 486 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mixed Boundary Value Problems by : Dean G. Duffy

Download or read book Mixed Boundary Value Problems written by Dean G. Duffy and published by CRC Press. This book was released on 2008-03-26 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat