Integral Equations on Time Scales

ISBN-13: 9789462392274 / Angielski / Twarda / 2016 / 402 str.

Svetlin G. Georgiev

Opis

This book offers the reader an overview of recent developments of integral equations on time scales. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses.

Recenzje

"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)

Spis treści

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.

Blurb

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.