Book Description
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Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 33,25 MB
Release : 2017-01-20
Category : Mathematics
ISBN : 1107098726
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Author : G. Gripenberg
Publisher : Cambridge University Press
Page : 727 pages
File Size : 11,74 MB
Release : 1990
Category : Mathematics
ISBN : 0521372895
This book looks at the theories of Volterra integral and functional equations.
Author : Peter Linz
Publisher : SIAM
Page : 240 pages
File Size : 43,76 MB
Release : 1985-01-01
Category : Mathematics
ISBN : 9781611970852
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.
Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 22,50 MB
Release : 2011-11-24
Category : Mathematics
ISBN : 3642214495
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.
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 22,48 MB
Release : 2017-01-20
Category : Mathematics
ISBN : 1316982653
This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 620 pages
File Size : 16,32 MB
Release : 2004-11-15
Category : Mathematics
ISBN : 9780521806152
Publisher Description
Author : I. G. Petrovskii
Publisher : Courier Corporation
Page : 142 pages
File Size : 40,59 MB
Release : 1996-09-01
Category : Mathematics
ISBN : 9780486697567
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.
Author : Richard K. Miller
Publisher :
Page : 488 pages
File Size : 10,83 MB
Release : 1971
Category : Mathematics
ISBN :
Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 1143 pages
File Size : 20,9 MB
Release : 2008-02-12
Category : Mathematics
ISBN : 0203881052
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
Author : Matiur Rahman
Publisher : WIT Press
Page : 385 pages
File Size : 10,3 MB
Release : 2007
Category : Mathematics
ISBN : 1845641019
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.