Volterra and Functional Differential Equations

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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.

Author(s): Kenneth B. Hannsgen, Terry L. Herdman, Harlan W. Stech, Robert L. Wheeler
Series: Lecture Notes in Pure and Applied Mathematics, 81
Publisher: CRC Press
Year: 1982

Language: English
Pages: 351
City: Boca Raton

Cover
Half Title
Series
Title
Copyright
Preface
Contents
Contributors
Conference Participants
Part One
A Survey of Some Problems and Recent Results for Parameter Estimation and Optimal Control in Delay and Distributed Parameter Systems
A Model Riemann Problem for Volterra Equations
An Example of Boundary Layer in Delay Equations
Some Results on the Liapunov Stability of Functional Equations
Some Synthesis Problems for Integral Equations
On Volterra Equations with Locally Finite Measures and L∞ - Perturbations
A Nonlinear Conservation Law with Memory
Functional Equations as Control Canonical Forms for Distributed Parameter Control Systems and a State Space Theory for Certain Differential Equations of Infinite Order
Exponential Dichotomies in Evolutionary Equations: A Preliminary Report
On Weighted Measures and a Neutral Functional Differential Equation
Part Two
A Parameter Dependence Problem in Functional Differential Equations
Approximation of Functional Differential Equations by Differential Systems
Integrable Resolvent Operators for an Abstract Volterra Equation
Asymptotic Expansions of a Penalty Method for Computing a Regulator Problem Governed by Volterra Equations
Integrodifferential Equations with Almost Periodic Solutions
Weighted L1-Spaces and Resolvents of Volterra Equations
A Volterra Equation with Time Dependent Operator
Formation of Singularities for a Conservation Law with Damping Term
On Obtaining Ultimate Boundedness for α-Contractions
Cosine Families, Product Spaces and Initial Value Problems with Nonlocal Boundary Conditions
Theory and Numerics of a Quasilinear Parabolic Equation in Rheology
On Periodic Solutions in Systems of High Order Differential Equations
Differentiability Properties of Pseudoparabolic Point Control Problems