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Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.F/5 ( download)
Download or read book An Introduction to the Study of Integral Equations written by Maxime Bôcher and published by . This book was released on 1909 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan K. Lifanov
Publisher : VSP
ISBN 13 : 9789067642071
Total Pages : 494 pages
Book Rating : 4.6/5 (42 download)
Download or read book Singular Integral Equations and Discrete Vortices written by Ivan K. Lifanov and published by VSP. This book was released on 1996 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.
Author : Traian Lalescu
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.0/5 ( download)
Download or read book Introduction à la théorie des équations intégrales written by Traian Lalescu and published by . This book was released on 1912 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elie Cartan
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)
Download or read book Leçons sur les invariants intégraux written by Elie Cartan and published by . This book was released on 1922 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guido Hoheisel
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (44 download)
Download or read book Integral Equations written by Guido Hoheisel and published by . This book was released on 1968 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vito Volterra
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.0/5 ( download)
Download or read book Leçons sur les équations intégrales et les équations intégro-différentielles written by Vito Volterra and published by . This book was released on 1913 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrice Struillou
Publisher : Editions Ellipses
ISBN 13 : 234008279X
Total Pages : 529 pages
Book Rating : 4.3/5 (4 download)
Download or read book Équations fonctionnelles written by Patrice Struillou and published by Editions Ellipses. This book was released on 2023-08-16 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage traite d’équations différentielles et d’équations aux dérivées partielles. Il présente des méthodes de résolution rigoureuses pour les problèmes où l’on peut obtenir les solutions sans recourir aux méthodes numériques. Il propose également de très nombreux exemples, il comporte 30 figures originales et 90 exercices ou problèmes corrigés, classiques ou plus personnels. Cet ouvrage est à destination des étudiants de Licence 3 et Master de mathématiques et de physique. Il pourra intéresser également les étudiants en écoles d’ingénieurs, et ceux préparant l’agrégation de mathématiques.
Author : E.G. Ladopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 3662042916
Total Pages : 569 pages
Book Rating : 4.6/5 (62 download)
Download or read book Singular Integral Equations written by E.G. Ladopoulos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
Author : Witold Pogorzelski
Publisher :
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.3/5 (91 download)
Download or read book Integral Equations and Their Applications written by Witold Pogorzelski and published by . This book was released on 1966 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. V. Bitsadze
Publisher : World Scientific
ISBN 13 : 9789810222635
Total Pages : 286 pages
Book Rating : 4.2/5 (226 download)
Download or read book Integral Equations of First Kind written by A. V. Bitsadze and published by World Scientific. This book was released on 1995 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (468 download)
Download or read book An Introduction to the Study of Integral Equations written by Maxime Bôcher and published by . This book was released on 1992 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1744 pages
Book Rating : 4.F/5 ( download)
Download or read book Expanded Abstracts with Biographies written by and published by . This book was released on with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zabreyko
Publisher : Springer
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (44 download)
Download or read book Integral Equations—a Reference Text written by Zabreyko and published by Springer. This book was released on 1975-01-09 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title 'Integral equations' covers many things which have very little connection with each other. However, they are united by the following important feature. In most cases, the equations involve an unknown function operated on by a bounded and often compact operator defined on some Banach space. The aim of the book is to list the main results concerning integral equations. The classical Fredholm theory and Hilbert-Schmidt theory are presented in Chapters II and III. The preceding Chapter I contains a description of the most important types of integral equations which can be solved in 'closed' form. Chapter IV is an important addition to Chapters II and III, as it contains the theory of integral equations with non-negative kernels. The development of this theory is mainly due to M. G. Krein. The content of the first four chapters is fairly elementary. It is well known that the Fredholm theory has been generalized for equations with compact operators. Chapter V is devoted tothis generalization. In Chapter VI one-dimensional (i.e. with one dependent variable) singular integral equations are considered. The last type of equations differ from that considered in the preceding chapters in that singular integral operators are not compact but only bounded in the usual functional spaces.
Author : Francesco Giacomo Tricomi
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (45 download)
Download or read book Integral Equations written by Francesco Giacomo Tricomi and published by . This book was released on 1967 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students and applied mathematicians.
Author : Ivan Georgievič Petrovskij
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on the Theory of Integral Equations written by Ivan Georgievič Petrovskij and published by . This book was released on 1971 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ram P. Kanwal
Publisher : Birkhauser
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)
Download or read book Linear Integral Equations written by Ram P. Kanwal and published by Birkhauser. This book was released on 1997 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. The second edition of this widely used book continues the emphasis on applications and presents a variety of techniques with extensive examples. Additional material has been added throughout the book. The chapters dealing with differential equations and singular integral equations have been expanded considerably. Thus the book is ideal as a text for a beginning graduate level course. Its treatment of boundary value problems and an extended and up-to-date bibliography will also make the book useful to research workers in many applied fields.
Author : Witold Pogorzelski
Publisher :
ISBN 13 :
Total Pages : 714 pages
Book Rating : 4.:/5 (839 download)
Download or read book Integral Equations and Their Applications written by Witold Pogorzelski and published by . This book was released on 1966 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
