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J. A. Dubinskii, “Sobolev Spaces of Infinite Order and the Behavior of Solution of Some Boundary Value Problems with Unbounded Increase of the Order of the Equation,” Mathematics of the USSR-Sbornik, Vol. 27, No. 2, 1975, p. 143. doi:10.1070/SM1975v027n02ABEH002506

has been cited by the following article:

• TITLE: Boundary Control Problem of Infinite Order Distributed Hyperbolic Systems Involving Time Lags

  AUTHORS: Bahaa Gaber Mohamed

  KEYWORDS: Boundary Control; (n × n) Hyperbolic Systems; Time Lags; Distributed Control Problems; Neumann Conditions; Existence and Uniqueness of Solutions; Infinite Order Operator

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.3, August 30, 2012

  ABSTRACT: Various optimal boundary control problems for linear infinite order distributed hyperbolic systems involving constant time lags are considered. Constraints on controls are imposed. Necessary and sufficient optimality conditions for the Neumann problem with the quadratic performance functional are derived.