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Ukrainian Mathematical Journal

, Volume 63, Issue 5, pp 759–767 | Cite as

Approximate stabilization for a nonlinear parabolic boundary-value problem

  • O. V. Kapustyan
  • O. A. Kapustyan
  • A. V. Sukretna
Article
  • 22 Downloads

For the problem of optimal stabilization of solutions of a nonlinear parabolic boundary-value problem with small parameter in the nonlinear term, we substantiate the form of approximate regulator on the basis of the formula of optimal synthesis of the corresponding linear-quadratic problem.

Keywords

Initial Function Exact Formula Limit Equality Optimal Synthesis Optimal Stabilization 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • O. V. Kapustyan
    • 1
  • O. A. Kapustyan
    • 1
  • A. V. Sukretna
    • 1
  1. 1.KyivUkraine

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