Integral Equations on Time Scales
Published on 28. October 2016
Book
Hardback
IX, 402 pages
978-94-6239-227-4 (ISBN)
Description
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.
Reviews / Votes
"This book presents clear and well-organized content based on the recent developments of integral equations on time scales. Almost all the chapters contain several numerical and illustrative examples and exercises which make the content readable and understandable. . the text can be used by both undergraduate and graduate level readers." (Halis Can Koyuncuoglu, Mathematical Reviews, August, 2017)More details
Series
Edition
2016 ed.
Language
English
Place of publication
Paris
Netherlands
Target group
Professional and scholarly
Illustrations
IX, 402 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 28 mm
Weight
781 gr
ISBN-13
978-94-6239-227-4 (9789462392274)
DOI
10.2991/978-94-6239-228-1
Schweitzer Classification
Other editions
Additional editions
Svetlin G. Georgiev
Integral Equations on Time Scales
E-Book
10/2016
1st Edition
Atlantis Press
€96.29
Available for download
Person
Svetlin G. Georgiev (born 1974, Bulgaria) has worked in various areas of mathematics. His current focus lies on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He has authored or co-authored several books, including "Real Quaternionic Calculus Handbook" (2014), "Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales" (2018), "Functional Dynamic Equations on Time Scales" (2019), "Theory of Distributions" (2021, now in its second edition), and "Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales" (2021), all published with Springer.
Content
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.