Integral Equations on Time Scales

• Main Author: Georgiev, Svetlin G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
• Series: Atlantis Studies in Dynamical Systems ; 5
• Subjects: Mathematics.; Functional analysis.; Integral equations.; Differential equations.; Numerical analysis.; Ordinary Differential Equations.; Integral Equations.; Numerical Analysis.; Functional Analysis.

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 st...

Table of Contents:

• 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.