Delay and functional differential equations and their applications [proceedings]
Delay and Functional Differential Equations and Their Applications.
| Corporate Authors: | Conference on Delay and Functional Differential Equations and Their Applications Park City, Utah) |
|---|---|
| Other Authors: | Conference on Delay and Functional Differential Equations and Their Applications, Schmitt, Klaus, 1940-, United States. Army Research Office., National Science Foundation (U.S.), University of Utah. |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Academic Press,
1972.
|
| Physical Description: |
1 online resource (xi, 395 pages) : illustrations. |
| Series: |
Academic Press rapid manuscript reproduction.
|
| Subjects: |
Table of Contents:
- Front Cover; Delay and Functional Differential Equations and Their Applications; Copyright Page; Table of Contents; PARTICIPANTS; PREFACE; PART I:INVITED PAPERS; CHAPTER 1. CONTROL OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FUNCTION SPACE BOUNDARY CONDITIONS; Introduction; Controllability; Existence of Optimal Controls; Necessary and Sufficient Conditions for Optimality; References; CHAPTER 2.NUMERICAL METHODS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS; Introduction; PART 1: INITIAL-VALUE PROBLEMS FOR FUNCTIONAL ORDINARY DIFFERENTIAL EQUATIONS; 1.1 Ordinary Differential Equations.
- 1.2 Retarded and Neutral Differential Equations 1.3 Volterra Integro-differential Equations; 1.4 Functional Differential Equations of Retarded Type; PART 2: BOUNDARY-VALUE PROBLEMS FOR FUNCTIONAL ORDINARY DIFFERENTIAL EQUATIONS; 2.1 Shooting Methods; 2.2 Finite-difference Methods; 2.3 Other Work; PART 3: FUNCTIONAL PARTIAL DIFFERENTIAL EQUATIONS; 3.1 Radiative Transfer; 3.2 Other Problems; References; CHAPTER 3.SOME HARMLESS DELAYS; References; CHAPTER 4.PATTERN LEARNING BY FUNCTIONAL-DIFFERENTIAL NEURAL NETWORKS WITH ARBITRARY PATH WEIGHTS; Introduction; Derivation of Some Networks.
- Psychophysiological Interpretation Local Symmetry Axes; References; CHAPTER 5.DIFFERENTIAL EQUATIONS IN PHYSIOLOGY AND HOW TO FIND THEM; Introduction; A Model of the Concentrating Action of the Medulla of the Kidney; Differential-Difference Equations; References; CHAPTER 6.BASIC FREQUENCY PERIODIC MOTIONS IN NONCCMPACT DYNAMICAL PROCESSES; References; CHAPTER 7. ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION; Introduction; Preliminaries; References; CHAPTER 8.OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENT; Introduction.
- Oscillation of Bounded Solutions Classification of Solutions; Existence of Oscillatory Solutions; References; CHAPTER 9.REMARKS ON A VOLTERRA EQUATION; Introduction; Proof of Lemma 1; Proof of Lemma 2; Proof of Lemma 3; Proof of Corollary 4; References; CHAPTER 10.ASYMPTOTIC STABILITY AND PERTURBATIONS FOR LINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS; Introduction; Preliminaries; Condition (D); Perturbations of (L); References; CHAPTER 11.THE INFINITE TIME QUADRATIC COST PROBLEM FOR CERTAIN CLASSES OF INFINITE DIMENSIONAL CONTROL SYSTEMS; Introduction; Problem Formulation.
- Optimal Control of Linear Hereditary Differential Systems with a Quadratic Cost: The Finite-Time Case References; CHAPTER 12.A DETERMINISTIC MODEL OF THE SPREAD OF AN INFECTION BETWEEN TWO POPULATIONS; Introduction; The Model; Main Results; References; PART II:CONTRIBUTED PAPERS; CHAPTER 13.INHOMOGENEOUS FUNCTIONAL AND OPERATIONAL DIFFERENTIAL EQUATIONS; Introduction; Main Results; References; CHAPTER 14. ON ASYMPTOTIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH TIME LAG; References.