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Integral Equations on Time Scales
ISBN-13:
9789462392281
Veröffentl:
2016
Seiten:
402
Autor:
Svetlin G. Georgiev
Serie:
5, Atlantis Studies in Dynamical Systems
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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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