[PDF] Integral Equations And Their Applications Download

Integral Equations and Their Applications PDF
Author: Matiur Rahman
Publisher: WIT Press
Release Date: 2007
Size: 50.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 356
View: 6921

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Integral Equations And Their Applications

Book by Matiur Rahman, Integral Equations And Their Applications Books available in PDF, EPUB, Mobi Format. Download Integral Equations And Their Applications books, The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.




[PDF] Integral Equations Download

Integral Equations PDF
Author: S. G. Mikhlin
Publisher: Elsevier
Release Date: 2014-07-22
Size: 18.34 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 356
View: 1409

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Integral Equations

Book by S. G. Mikhlin, Integral Equations Books available in PDF, EPUB, Mobi Format. Download Integral Equations books, Integral Equations: And their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, Second Revised Edition contains an account of the general theory of Fredholm and Hilbert-Schmidt. This edition discusses methods of approximate solution of Fredholm's equation and, in particular, their application to the solution of basic problems in mathematical physics, including certain problems in hydrodynamics and the theory of elasticity. Other topics include the equations of Volterra type, determination of the first eigenvalue by Ritz's method, and systems of singular integral equations. The generalized method of Schwarz, convergence of successive approximations, stability of a rod in compression, and mixed problem of the theory of elasticity are also elaborated. This publication is recommended for mathematicians, students, and researchers concerned with singular integral equations.




[PDF] Integral Equations And Their Applications To Certain Problems In Mechanics Mathematical Physics And Technology Download

Integral Equations and Their Applications to Certain Problems in Mechanics  Mathematical Physics  and Technology PDF
Author: Solomon Grigorʹevich Mikhlin
Publisher:
Release Date: 1964
Size: 35.27 MB
Format: PDF, ePub, Mobi
Category : Integral equations
Languages : en
Pages : 341
View: 2545

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Integral Equations And Their Applications To Certain Problems In Mechanics Mathematical Physics And Technology

Book by Solomon Grigorʹevich Mikhlin, Integral Equations And Their Applications To Certain Problems In Mechanics Mathematical Physics And Technology Books available in PDF, EPUB, Mobi Format. Download Integral Equations And Their Applications To Certain Problems In Mechanics Mathematical Physics And Technology books,




[PDF] Introduction To Integral Equations With Applications Download

Introduction to Integral Equations with Applications PDF
Author: A. Jerri
Publisher: John Wiley & Sons
Release Date: 1999-09-03
Size: 34.23 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 433
View: 1916

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Introduction To Integral Equations With Applications

Book by A. Jerri, Introduction To Integral Equations With Applications Books available in PDF, EPUB, Mobi Format. Download Introduction To Integral Equations With Applications books, From the reviews of the First Edition: "Extremely clear, self-contained text . . . offers to a wide class of readers the theoretical foundations and the modern numerical methods of the theory of linear integral equations."-Revue Roumaine de Mathematiques Pures et Appliquées. Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration. Other features include: * A new section on integral equations in higher dimensions. * An improved presentation of the Laplace and Fourier transforms. * A new detailed section for Fredholm integral equations of the first kind. * A new chapter covering the basic higher quadrature numerical integration rules. * A concise introduction to linear and nonlinear integral equations. * Clear examples of singular integral equations and their solutions. * A student's solutions manual available directly from the author.




[PDF] Evolutionary Integral Equations And Applications Download

Evolutionary Integral Equations and Applications PDF
Author: Jan Prüss
Publisher: Springer Science & Business Media
Release Date: 2012-08-17
Size: 27.30 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 366
View: 4825

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Evolutionary Integral Equations And Applications

Book by Jan Prüss, Evolutionary Integral Equations And Applications Books available in PDF, EPUB, Mobi Format. Download Evolutionary Integral Equations And Applications books, This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. The aim is a coherent presentation of the state of art of the theory including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory. The importance of evolutionary integral equations ‒ which form a larger class than do evolution equations​ ‒ stems from such applications and therefore special emphasis is placed on these. A number of models are derived and, by means of the developed theory, discussed thoroughly. An annotated bibliography containing 450 entries increases the book’s value as an incisive reference text. --- This excellent book presents a general approach to linear evolutionary systems, with an emphasis on infinite-dimensional systems with time delays, such as those occurring in linear viscoelasticity with or without thermal effects. It gives a very natural and mature extension of the usual semigroup approach to a more general class of infinite-dimensional evolutionary systems. This is the first appearance in the form of a monograph of this recently developed theory. A substantial part of the results are due to the author, or are even new. (...) It is not a book that one reads in a few days. Rather, it should be considered as an investment with lasting value. (Zentralblatt MATH) In this book, the author, who has been at the forefront of research on these problems for the last decade, has collected, and in many places extended, the known theory for these equations. In addition, he has provided a framework that allows one to relate and evaluate diverse results in the literature. (Mathematical Reviews) This book constitutes a highly valuable addition to the existing literature on the theory of Volterra (evolutionary) integral equations and their applications in physics and engineering. (...) and for the first time the stress is on the infinite-dimensional case. (SIAM Reviews)




[PDF] Volterra Equations And Applications Download

Volterra Equations and Applications PDF
Author: C. Corduneanu
Publisher: CRC Press
Release Date: 2000-01-10
Size: 56.35 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 512
View: 5779

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Volterra Equations And Applications

Book by C. Corduneanu, Volterra Equations And Applications Books available in PDF, EPUB, Mobi Format. Download Volterra Equations And Applications books, 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 the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.




[PDF] Hypersingular Integral Equations And Their Applications Download

Hypersingular Integral Equations and Their Applications PDF
Author: I.K. Lifanov
Publisher: CRC Press
Release Date: 2003-12-29
Size: 21.88 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 416
View: 5045

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Hypersingular Integral Equations And Their Applications

Book by I.K. Lifanov, Hypersingular Integral Equations And Their Applications Books available in PDF, EPUB, Mobi Format. Download Hypersingular Integral Equations And Their Applications books, A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co




[PDF] Linear And Nonlinear Integral Equations Download

Linear and Nonlinear Integral Equations PDF
Author: Abdul-Majid Wazwaz
Publisher: Springer Science & Business Media
Release Date: 2011-11-24
Size: 27.67 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 639
View: 5075

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Linear And Nonlinear Integral Equations

Book by Abdul-Majid Wazwaz, Linear And Nonlinear Integral Equations Books available in PDF, EPUB, Mobi Format. Download Linear And Nonlinear Integral Equations books, Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.




[PDF] Applied Singular Integral Equations Download

Applied Singular Integral Equations PDF
Author: B. N. Mandal
Publisher: CRC Press
Release Date: 2016-04-19
Size: 39.26 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 270
View: 934

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Applied Singular Integral Equations

Book by B. N. Mandal, Applied Singular Integral Equations Books available in PDF, EPUB, Mobi Format. Download Applied Singular Integral Equations books, The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.




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