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Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form

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  • Bahaa G. M.

Abstract

The optimal boundary control problem for ( n × n ) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are imposed. Necessary and suffacient optimality conditions for the Neumann problem with the quadratic performance functional are derived.

Suggested Citation

  • Bahaa G. M., 2012. "Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-25, August.
    • Handle: RePEc:hin:jnljam:672947
    DOI: 10.1155/2012/672947
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