Author: Martin Väth
Publisher:
ISBN:
Category :
Languages : en
Pages : 197
Book Description
Volterra and Integral Equations of Vector Functions
Author: Martin Väth
Publisher:
ISBN:
Category :
Languages : en
Pages : 197
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 197
Book Description
Volterra and Integral Equations of Vector Functions
Author: Martin Vath
Publisher: CRC Press
ISBN: 9780824703424
Category : Mathematics
Languages : en
Pages : 366
Book Description
"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."
Publisher: CRC Press
ISBN: 9780824703424
Category : Mathematics
Languages : en
Pages : 366
Book Description
"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."
Lectures on the Theory of Integral Equations
Author: I. G. Petrovskii
Publisher: Courier Corporation
ISBN: 9780486697567
Category : Mathematics
Languages : en
Pages : 142
Book Description
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.
Publisher: Courier Corporation
ISBN: 9780486697567
Category : Mathematics
Languages : en
Pages : 142
Book Description
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.
Nonlinear Volterra Integral Equations
Author: Richard K. Miller
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 488
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 488
Book Description
Integral Equations
Author: B. L. Moiseiwitsch
Publisher: Courier Corporation
ISBN: 048615212X
Category : Mathematics
Languages : en
Pages : 181
Book Description
This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.
Publisher: Courier Corporation
ISBN: 048615212X
Category : Mathematics
Languages : en
Pages : 181
Book Description
This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.
Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions
Author: A.B. Mingarelli
Publisher: Springer
ISBN: 3540398651
Category : Mathematics
Languages : en
Pages : 333
Book Description
Publisher: Springer
ISBN: 3540398651
Category : Mathematics
Languages : en
Pages : 333
Book Description
Volterra's Integral Equations of the Second Kind
Author: Griffith Conrad Evans
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 56
Book Description
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 56
Book Description
Integral Equations and Their Applications
Author: Matiur Rahman
Publisher: WIT Press
ISBN: 1845641019
Category : Mathematics
Languages : en
Pages : 385
Book Description
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.
Publisher: WIT Press
ISBN: 1845641019
Category : Mathematics
Languages : en
Pages : 385
Book Description
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.
Integral Equations—a Reference Text
Author: Zabreyko
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 472
Book Description
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.
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 472
Book Description
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.
Volterra Integral Equations
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1316982653
Category : Mathematics
Languages : en
Pages : 405
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1316982653
Category : Mathematics
Languages : en
Pages : 405
Book Description
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.