Differential Equations and Control Theory

by Aizicovici; Sergiu

• ISBN13: 9780824706814
• ISBN10: 0824706811
• Format: Nonspecific Binding
• Copyright: 2001-10-02
• Publisher: CRC Press

Summary

Based on papers at the Intl Workshop on Differential Equations and Optimal Control held recently at Ohio University, Athens.

Table of Contents

Preface	iii
Contributors	vii
Existence and Uniqueness of Solutions to a Second Order Nonlinear Nonlocal Hyperbolic Equation	1	(18)
Azmy S. Ackleh
Sergiu Aizicovici
Michael Demetriou
Simeon Reich
Fully Nonlinear Programming Problems with Closed Range Operators	19	(12)
Sergiu Aizicovici
D. Motreanu
Nicolae H. Pavel
Internal Stabilization of the Diffusion Equation	31	(8)
Laura-Iulia Anita
Sebastian Anita
Flow-Invariant Sets with Respect to Navier-Stokes Equation	39	(16)
V. Barbu
Nicolae H. Pavel
Numerical Approximation of the Riccati Equation via Fractional Steps Method	55	(8)
Tudor Barbu
Costica Morosanu
Asymptotic Analysis of the Telegraph System with Nonlinear Boundary Conditions	63	(14)
L. Barbu
E. Cosma
Gh. Morosanu
W.L. Wendland
Global Existence for a Class of Dispersive Equations	77	(32)
Radu C. Cascaval
Viable Domains for Differential Equations Governed by Caratheodory Perturbations of Nonlinear m-Accretive Operators	109	(22)
Ovidiu Carja
Ioan I. Vrabie
Almost Periodic Solutions to Neutral Functional Equations	131	(8)
C. Corduneanu
The One Dimensional Wave Equation with Wentzell Boundary Conditions	139	(8)
Angelo Favini
Gisele Ruiz Goldstein
Jerome A. Goldstein
Silvia Romanelli
On the Longterm Behaviour of a Parabolic Phase-Field Model with Memory	147	(12)
Maurizio Grasselli
Vittorino Pata
On the Kato Classes of Distributions and the BMO-Classes	159	(18)
Archil Gulisashvili
The Global Solution Set for a Class of Semilinear Problems	177	(14)
Philip Korman
Optimal Control and Algebraic Riccati Equations under Singular Estimates for eAt B in the Absence of Analyticity. Part I: The Stable Case	191	(30)
Irena Lasiecka
Roberto Triggiani
Solving Identification Problems for the Wave Equation by Optimal Control Methods	221	(12)
Suzanne Lenhart
Vladimir Protopopescu
Singular Perturbations and Approximations for Integrodifferential Equations	233	(12)
J. Liu
J. Sochacki
P. Dostert
Remarks on Impulse Control Problems for the Stochastic Navier-Stokes Equations	245	(12)
J.L. Menaldi
S.S. Sritharan
Recent Progress on the Lavrentiev Phenomenon with Applications	257	(6)
Victor J. Mizel
Abstract Eigenvalue Problem for Monotone Operators and Applications to Differential Operators	263	(14)
Silviu Sburlan
Implied Volatility for American Options via Optimal Control and Fast Numerical Solutions of Obstacle Problems	277	(18)
Srdjan Stojanovic
First Order Necessary Conditions of Optimality for Semilinear Optimal Control Problems	295	(14)
M.D. Voisei
Lyapunov Equation and the Stability of Nonautonomous Evolution Equations in Hilbert Spaces	309	(10)
Quoc-Phong Vu
Siu Pang Yung
Least Action for N-Body Problems with Quasihomogeneous Potentials	319
Shih-liang Wen
Shiqing Zhang