書誌事項

Differential equations and control theory

edited by Sergiu Aizicovici, Nicolae H. Pavel

(Lecture notes in pure and applied mathematics, v. 225)

M. Dekker, c2002

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注記

Includes bibliographical references

内容説明・目次

内容説明

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.

目次

  • 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.

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詳細情報
  • NII書誌ID(NCID)
    BA54022055
  • ISBN
    • 0824706811
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    viii, 328 p.
  • 大きさ
    26 cm
  • 親書誌ID
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