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Singular Differential and Integral Equations with Applications, R.P. Agarwal; Donal O`Regan


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Автор: R.P. Agarwal; Donal O`Regan
Название:  Singular Differential and Integral Equations with Applications
ISBN: 9789048163564
Издательство: Springer
Классификация: ISBN-10: 9048163560
Обложка/Формат: Paperback
Страницы: 402
Вес: 0.58 кг.
Дата издания: 01.12.2010
Язык: English
Размер: 234 x 156 x 22
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the last century many problems which arose in the science, engineer- ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ- ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis- tence results were difficult to establish for the problems which arose. Indeed until the early 1990s only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990s new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This mono- graph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela- Ascoli theorem and Banachs theorem are also stated here.


The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations

Автор: R.S. Anderssen; A.A. Ivanov; D. Elliott
Название: The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations
ISBN: 9048184622 ISBN-13(EAN): 9789048184620
Издательство: Springer
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Цена: 36756.00 р.
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Автор: Sabir Umarov
Название: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
ISBN: 331936846X ISBN-13(EAN): 9783319368467
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.

Singular Integral Operators, Factorization and Applications

Автор: Albrecht B?ttcher; Marinus A. Kaashoek; Amarino Br
Название: Singular Integral Operators, Factorization and Applications
ISBN: 3034894015 ISBN-13(EAN): 9783034894012
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Operator Theoretical Methods in Diffraction Theory;

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

Автор: Georgii S. Litvinchuk
Название: Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
ISBN: 0792365496 ISBN-13(EAN): 9780792365495
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. This title discusses the applications to mechanics, physics, and geometry of surfaces. It also contains a survey of the literature on closely related topics.

One-Dimensional Linear Singular Integral Equations

Автор: I. Gohberg; N. Krupnik
Название: One-Dimensional Linear Singular Integral Equations
ISBN: 3764325844 ISBN-13(EAN): 9783764325848
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This book is an introduction to the theory of linear one-dimensional singular integral equations. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form.

The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations

Автор: R.S. Anderssen; A.A. Ivanov; D. Elliott
Название: The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations
ISBN: 9028600361 ISBN-13(EAN): 9789028600362
Издательство: Springer
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Цена: 36756.00 р.
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Автор: Sabir Umarov
Название: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
ISBN: 3319207709 ISBN-13(EAN): 9783319207704
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Function Spaces and Distributions.- Pseudo-Differential Operators with Singular Symbols (DOSS).- Fractional Calculus and Fractional Order Operators.- Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols.- Initial and Boundary Value Problems for Fractional Order Differential Equations.- Distributed and Variable Order Differential-Operator Equations.- Fractional Fokker-Planck-Kolmogorov Equations.- Random Walk Approximants of Mixed and Time-Changed Levy Processes.- Complex DOSS and Systems of Complex Differential Equations.- References.

Singular Perturbation Methods for Ordinary Differential Equations

Автор: Robert E., Jr. O`Malley
Название: Singular Perturbation Methods for Ordinary Differential Equations
ISBN: 038797556X ISBN-13(EAN): 9780387975566
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir- ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places.

Singular Nonlinear Partial Differential Equations

Автор: Raymond G?rard; Hidetoshi Tahara
Название: Singular Nonlinear Partial Differential Equations
ISBN: 3322802868 ISBN-13(EAN): 9783322802866
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli- cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x, y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field.

Singular Perturbation Methods for Ordinary Differential Equations

Автор: Robert E., Jr. O`Malley
Название: Singular Perturbation Methods for Ordinary Differential Equations
ISBN: 1461269687 ISBN-13(EAN): 9781461269687
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir- ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places.

Multidimensional Weakly Singular Integral Equations

Автор: Gennadi Vainikko
Название: Multidimensional Weakly Singular Integral Equations
ISBN: 3540568786 ISBN-13(EAN): 9783540568780
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The aim of this monograph is to construct effective discretization methods to solve multidimensional, weakly singular integral equations arising in the radiation transfer theory. No special knowledge of integral equations is assumed beyond that to be found in standard undergraduate courses.

Singular Integral Equations

Автор: E.G. Ladopoulos
Название: Singular Integral Equations
ISBN: 3540672303 ISBN-13(EAN): 9783540672302
Издательство: Springer
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Цена: 36570.00 р.
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Описание: This text includes coverage of the technology on solving theoretical and practical problems on solid mechanics, fracture mechanics, structural analysis, elastodynamics, fluid mechanis and aerodynamics, by using linear and non-linear singular integral equation methods.


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