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  "Nonnegativity Criterion for a Degenerate Quadratic Form with Two-Dimensional Control"
 

          Abstract
  We consider an integral quadratic form of the classical calculus of variations with two-dimensional state and control
  and with the Legendre coefficient degenerate at a single point. We give a criterion of its nonnegativity in the form
  of sharp inequality on its coefficients. This inequality can be, in a sense, considered as a two-dimensional
  generalization of the well-known Hardy inequality on a function and its derivative.
 

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  Russian original:
   Критерий неотрицательности вырожденной квадратичной формы с двумерным управлением --
  Итоги науки и техники. Современная мат-ка и ее приложения, М., 2002, т. 110, с. 49—75.

   
  Talk at the Conference "Extremal problems in complex and real analysis"

  Moscow, People Friendship University, May 2007.


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