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On the Controllability of a Differential Equation with Delayed and Advanced Arguments

Author

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  • Raúl Manzanilla
  • Luis Gerardo Mármol
  • Carmen J. Vanegas

Abstract

A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.

Suggested Citation

  • Raúl Manzanilla & Luis Gerardo Mármol & Carmen J. Vanegas, 2010. "On the Controllability of a Differential Equation with Delayed and Advanced Arguments," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, July.
    • Handle: RePEc:hin:jnlaaa:307409
    DOI: 10.1155/2010/307409
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