1st Edition

Volterra Equations and Applications

Edited By C. Corduneanu, I Sandberg Copyright 2000

    This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.

    1. Retrospective of Vito Volterra and His Influence on Nonlinear Systems Theory 2. Volterra Integral Equations at Wisconsin 3. Stability and Asymptotic Behaviour of Solutions of Equations with Aftereffect 4. Generalized Halay Inequalities for Volterra Functional Differential Equations and Discretized Versions 5. Stochastic Convolutions with Kernels Arising in Volterra Equations 6. An Example of Lp-Regularity for Hyperbolic Integrodifferential Equations 7. The Present Status of UAS for Volterra and Delay Equations 8. Myopic Maps and Volterra Series Approximations 9. State Space Theory for Abstract Volterra Operators


    Corduneanu, C.; Sandberg, I