Volterra and Functional Differential Equations

by Kenneth B. Hannsgen

Overview

This book contains twenty four papers, presented at the conference on Volterra and Functional Differential Equations held in Virginia in 1981, on various topics, including Liapunov stability, Volterra equations, integral equations, and functional differential equations.

Product Details

ISBN-13:	9781000949032
Publisher:	CRC Press
Publication date:	05/31/2023
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	352
File size:	2 MB

About the Author

Kenneth B. Hannsgen

Table of Contents

Part One 1. A Survey of Some Problems and Recent Results for Parameter Estimation and Optimal Control in Delay and Distributed Parameter Systems 2. A Model Riemann Problem for Volterra Equations 3. An Example of Boundary Layer in Delay Equations 4. Some Results on the Liapunov Stability of Functional Equations 5. Some Synthesis Problems for Integral Equations 6. On Volterra Equations with Locally Finite Measures and L∞- Perturbations 7. A Nonlinear Conservation Law with Memory 8. Functional Equations as Control Canonical Forms for Distributed Parameter Control Systems and a State Space Theory for Certain Differential Equations of Infinite Order 9. Exponential Dichotomies in Evolutionary Equations: A Preliminary Report 10. On Weighted Measures and a Neutral Functional Differential Equation Part Two 11. A Parameter Dependence Problem in Functional Differential Equations 12. Approximation of Functional Differential Equations by Differential Systems 13. Integrable Resolvent Operators for an Abstract Volterra Equation 14. Asymptotic Expansions of a Penalty Method for Computing a Regulator Problem Governed by Volterra Equations 15. Integrodifferential Equations with Almost Periodic Solutions 16. Weighted L1-Spaces and Resolvents of Volterra Equations 17. A Volterra Equation with Time Dependent Operator 18. Formation of Singularities for a Conservation Law with Damping Term 19. On Obtaining Ultimate Boundedness for α-Contractions 20. Cosine Families, Product Spaces and Initial Value Problems with Nonlocal Boundary Conditions 21. Theory and Numerics of a Quasilinear Parabolic Equation in Rheology 22. On Periodic Solutions in Systems of High Order Differential Equations 23. Differentiability Properties of Pseudoparabolic Point Control Problems