On a generalized Volterra equation in Hilbert space
- 1 May 1973
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 38 (3) , 563-570
- https://doi.org/10.1090/s0002-9939-1973-0317102-4
Abstract
The objective of this paper is to establish a fundamental theorem on the existence and uniqueness of the solution of a generalized Volterra equation in Hilbert space. Some applications to the areas of abstract functional analysis and modern mathematical systems theory are pointed out.Keywords
This publication has 3 references indexed in Scilit:
- Theory and Applications of Volterra Operators in Hilbert SpacePublished by American Mathematical Society (AMS) ,2004
- Causality in Hilbert SpaceSIAM Review, 1970
- Fundamental Structure of Input-Output Stability for Feedback SystemsIEEE Transactions on Systems Science and Cybernetics, 1970