Volterra Integral And Functional Equations
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Volterra Integral And Functional Equations
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Author : G. Gripenberg
language : en
Publisher:
Release Date : 2014-05-18
Volterra Integral And Functional Equations written by G. Gripenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-18 with Electronic books categories.
This book looks at the theories of Volterra integral and functional equations.
Volterra Integral Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-20
Volterra Integral Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-20 with Mathematics categories.
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Volterra Integral And Functional Equations
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Author : Gustaf Gripenberg
language : en
Publisher:
Release Date : 2014-05-14
Volterra Integral And Functional Equations written by Gustaf Gripenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Functional equations categories.
This book looks at the theories of Volterra integral and functional equations.
Volterra Integral And Functional Equations
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Author : G. Gripenberg
language : en
Publisher: Cambridge University Press
Release Date : 1990
Volterra Integral And Functional Equations written by G. Gripenberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This book looks at the theories of Volterra integral and functional equations.
Integral Equations
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Author : Wolfgang Hackbusch
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Integral Equations written by Wolfgang Hackbusch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
Theory Of Functionals And Of Integral And Integro Differential Equations
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Author : Vito Volterra
language : en
Publisher: Courier Dover Publications
Release Date : 2005
Theory Of Functionals And Of Integral And Integro Differential Equations written by Vito Volterra and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Differential equations categories.
A classic work by the mathematician who developed the general theory of functions that depend on a continuous set of values of another function, this volume deals primarily with integral equations.
Singular Differential And Integral Equations With Applications
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Author : R.P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-31
Singular Differential And Integral Equations With Applications written by R.P. Agarwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Mathematics categories.
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 1990's 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 1990's 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 Banach's theorem are also stated here.
Computational Methods For Integral Equations
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Author : L. M. Delves
language : en
Publisher: CUP Archive
Release Date : 1985
Computational Methods For Integral Equations written by L. M. Delves and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
This textbook provides a readable account of techniques for numerical solutions.
Collocation Methods For Volterra Integral And Related Functional Differential Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-15
Collocation Methods For Volterra Integral And Related Functional Differential Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.
Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.
Handbook Of Integral Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2008-02-12
Handbook Of Integral Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-12 with Mathematics categories.
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa