Approximate Controllability of Semilinear Nonautonomous Systems in Hilbert Spaces

نویسندگان

  • Hugo Leiva
  • Nelson Merentes
  • Jose Luis Sanchez
  • Ambrosio Tineo Moya
  • Adina Luminiţa Sasu
چکیده

In this paper we give a necessary and sufficient conditions for approximate controllability of a wide class of semilinear nonautonomous systems in Hilbert spaces. This is done by employing skew-product semi-flows technique. As an application we prove the approximate controllability of a broad class of nonautonomous semilinear reaction diffusion equations which includes the semilinear heat equation. AMS Subject Classifications: 93B05, 93C10.

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تاریخ انتشار 2015