Volterra Integral and Functional Equations (Encyclopedia of Mathematics and its Applications, Series Number 34) - Hardcover

Gripenberg, G.; Londen, S. O.; Staffans, O.

Hardcover

ISBN 10: 0521372895 ISBN 13: 9780521372893

Publisher: Cambridge University Press, 1990

Synopsis

The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of nonlinear equations. The entire text analyzes n-dimensional rather than scalar equations, giving greater generality and wider applicability and facilitating generalizations to infinite-dimensional spaces.

About this title

Book Description

This book looks at Volterra integral and functional equations, and shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is generally self-contained and assumes only a basic knowledge of analysis.

Review

"...an excellent encyclopedia of results on the theory of Volterra integral equations." Mathematical Reviews

"Efforts have been made to cover aspects of analysis needed but not easily found elsewhere...and care is given to including an extensive table of symbols and their meaning; it is nicely produced." The Mathematical Association of America

Edition details

• Publisher: Cambridge University Press
• Publication date: 1990
• Language: English
• ISBN 10: 0521372895
• ISBN 13: 9780521372893
• Binding: Hardcover
• Edition number: 1
• Number of pages: 724