Volterra Integral Equations - An Introduction to Theory and Applications

This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations. It includes applications and an extensive bibliography.

List of contents

1. Linear Volterra integral equations; 2. Regularity of solutions; 3. Nonlinear Volterra integral equations; 4. Volterra integral equations with highly oscillatory kernels; 5. Singularly perturbed and integral-algebraic Volterra equations; 6. Qualitative theory of Volterra integral equations; 7. Cordial Volterra integral equations; 8. Volterra integral operators on Banach spaces; 9. Applications of Volterra integral equations; Appendix. A review of Banach space tools; References; Index.

About the author

Hermann Brunner is a Research Professor of Mathematics at the Hong Kong Baptist University, and in 2006 he won the David Borwein Distinguished Career Award of the Canadian Mathematical Society. His previous books include Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge, 2004) and The Numerical Solution of Volterra Equations (1986).

Summary

This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), from Volterra's fundamental contributions and resulting classical theory to more recent developments. It includes Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators.

Product details

• Authors: H. Brunner, Hermann Brunner, Hermann (Hong Kong Baptist University) Brunner
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 20.01.2017
• EAN: 9781107098725
• ISBN: 978-1-107-09872-5
• No. of pages: 402
• Series: Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Calculus, Mathematics