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Integral equations on time scales
~
Georgiev, Svetlin G.
Integral equations on time scales
Record Type:
Electronic resources : Monograph/item
Title/Author:
Integral equations on time scalesby Svetlin G. Georgiev.
Author:
Georgiev, Svetlin G.
Published:
Paris :Atlantis Press :2016.
Description:
ix, 402 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Integral equations.
Online resource:
http://dx.doi.org/10.2991/978-94-6239-228-1
ISBN:
9789462392281$q(electronic bk.)
Integral equations on time scales
Georgiev, Svetlin G.
Integral equations on time scales
[electronic resource] /by Svetlin G. Georgiev. - Paris :Atlantis Press :2016. - ix, 402 p. :ill., digital ;24 cm. - Atlantis studies in dynamical systems ;v.5. - Atlantis studies in dynamical systems ;v.1..
1. Elements of the Time Scale Calculus -- 2. Introductory Concepts of Integral Equations on Time Scales -- 3. Generalized Volterra Integral Equations -- 4. Generalized Volterra Integro-Differential Equations -- 5. Generalized Fredholm Integral Equations -- 6. Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels -- 7. The Laplace Transform Method -- 8. The Series Solution Method -- 9. Non-Linear Generalized Integral Equations.
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.
ISBN: 9789462392281$q(electronic bk.)
Standard No.: 10.2991/978-94-6239-228-1doiSubjects--Topical Terms:
185303
Integral equations.
LC Class. No.: QA431
Dewey Class. No.: 515.45
Integral equations on time scales
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1. Elements of the Time Scale Calculus -- 2. Introductory Concepts of Integral Equations on Time Scales -- 3. Generalized Volterra Integral Equations -- 4. Generalized Volterra Integro-Differential Equations -- 5. Generalized Fredholm Integral Equations -- 6. Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels -- 7. The Laplace Transform Method -- 8. The Series Solution Method -- 9. Non-Linear Generalized Integral Equations.
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This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.
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