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Differential Equations And Control Theory

Differential Equations And Control Theory


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About the Book

This text is based on papers presented at the International Workshop on Differential Equations and Optimal Control held at Ohio University, Athens. It presents developments in the study and optimal control of partial differential and functional differential equations. The contributors highlight advances in, and practical applications to, physics and engineering problems.

Table of Contents:
Existence and uniqueness of solutions to a second order nonlinear nonlocal hyperbolic equation; fully nonlinear programming problems with closed range operators; internal stabilization of the diffusion equation; flow-invariant sets with respect to Navier-Stokes equation; numerical approximation of the Ricatti equation via fractional steps method; asymptotic analysis of the telegraph system with nonlinear boundary conditions; global existence for a class of dispersive equations; viable domains for differential equations governed by caratheodory perturbations of nonlinear m-accretive operators; almost periodic solutions to neural functional equations; the one-dimensional wave equation with Wentzell boundary conditions; on the longterm behaviour of a parabolic phase-field model with memory; on the Kato classes of distributions and BMO-classes; the global solution set for a class of semilinear problems; optimal control and algebraic Ricatti equations under singular estimates for eAtB in the absence of analyticity; the stable case; solving identification problems for the wave equation by optimal control methods; singular perturbations and approximations for integrodifferential equations; remarks on impulse control problems for the stochastic Navier-Stokes equations; recent progress on the Lavrentiev phenomenon, with applications; abstract eigenvalue problem for monotone operators and applications to differential operators; implied volatility for American options via optimal control and fast numerical solutions of obstacle problems; first order necessary conditions of optimality for semilinear optimal control problems; Lyapunov equation and the stability of nonautonomous evolution equations in Hilbert spaces; least action for N-body problems with quasihomogeneous potentials.

About the Author :
Sergiu Aizicovici (Ohio University) (Edited by) , Nicolae H. Pavel (Ohio University, Athens, USA) (Edited by)


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Product Details
  • ISBN-13: 9780824706814
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Height: 254 mm
  • No of Pages: 344
  • Width: 178 mm
  • ISBN-10: 0824706811
  • Publisher Date: 02 Oct 2001
  • Binding: Paperback
  • Language: English
  • Weight: 635 gr


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