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The One Dimensional Heat Equation And Its Associated Volterra Integral Equations


The One Dimensional Heat Equation And Its Associated Volterra Integral Equations
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The One Dimensional Heat Equation And Its Associated Volterra Integral Equations


The One Dimensional Heat Equation And Its Associated Volterra Integral Equations
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Author : Bartur Jumarhon
language : en
Publisher:
Release Date : 1994

The One Dimensional Heat Equation And Its Associated Volterra Integral Equations written by Bartur Jumarhon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




The One Dimensional Heat Equation


The One Dimensional Heat Equation
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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

The One Dimensional Heat Equation written by John Rozier Cannon 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 1984-12-28 with Mathematics categories.


This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.



Integral Equations Of First Kind


Integral Equations Of First Kind
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Author : A. V. Bitsadze
language : en
Publisher: World Scientific
Release Date : 1995

Integral Equations Of First Kind written by A. V. Bitsadze and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to well-investigated classes of integral equations of the second kind.In this book the theory of integral equations of the first kind is constructed by using the methods of the theory of functions both of real and complex variables. Special attention is paid to the inversion formulas of model equations most often met in physics, mechanics, astrophysics, chemical physics etc. The general theory of linear equations including the Fredholm, the Noether, the Hausdorff theorems, the Hilbert-Schmidt theorem, the Picard theorem and the application of this theory to the solution of boundary problems are given in this book. The book studies the equations of the first kind with the Schwarz Kernel, the Poisson and the Neumann kernels; the Volterra integral equations of the first kind, the Abel equations and some generalizations, one-dimensional and many-dimensional analogues of the Cauchy type integral and some of their applications.



Volterra Equations And Applications


Volterra Equations And Applications
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Author : C. Corduneanu
language : en
Publisher: CRC Press
Release Date : 2000-01-10

Volterra Equations And Applications written by C. Corduneanu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-10 with Mathematics categories.


This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in th



Volterra Integral 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


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.



Lectures On The Theory Of Integral Equations


Lectures On The Theory Of Integral Equations
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Author : I. G. Petrovskii
language : en
Publisher: Courier Corporation
Release Date : 1996-09-01

Lectures On The Theory Of Integral Equations written by I. G. Petrovskii and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-01 with Mathematics categories.


Simple, clear exposition of the Fredholm theory for integral equations of the second kind of Fredholm type. A brief treatment of the Volterra equation is also included. An outstanding feature is a table comparing finite dimensional spaces to function spaces. ". . . An excellent presentation."—Am. Math. Monthly. Translated from second revised (1951) Russian edition. Bibliography.



Collocation Methods For Volterra Integral And Related Functional Differential Equations


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.


Publisher Description



Analytical And Numerical Methods For Volterra Equations


Analytical And Numerical Methods For Volterra Equations
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Author : Peter Linz
language : en
Publisher: SIAM
Release Date : 1985-01-01

Analytical And Numerical Methods For Volterra Equations written by Peter Linz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.


Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.



Volterra Integral Equations And Topological Dynamics


Volterra Integral Equations And Topological Dynamics
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Author : Richard K. Miller
language : en
Publisher: American Mathematical Soc.
Release Date : 1970

Volterra Integral Equations And Topological Dynamics written by Richard K. Miller 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 1970 with Compact spaces categories.


The purpose of this paper is to show how Volterra integral equations may be studied within the framework of the theory of topological dynamics. Part I contains the basic theory, as local dynamical systems are discussed together with some of their elementary properties. The notation of compatible pairs of function spaces is introduced. Part II contains examples of compatible pairs, as these spaces are studied in some detail. Part III contains some applications of the first two parts.