Differential equations and control theory

著者

• Aizicovici, Sergiu
• Pavel, N. H. (Nicolae H.)

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

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:
  • BA00256405