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Controllability Results for Semilinear Evolution Inclusions with Nonlocal Conditions

Author

Listed:
  • M. Benchohra

    (University of Sidi Bel Abbes)

  • E.P. Gatsori

    (University of Ioannina)

  • S.K. Ntouyas

    (University of Ioannina)

Abstract

In this paper, we prove controllabillity results for mild solutions defined on a compact real interval for first-order semilinear differential and integrodifferential evolution inclusions in Banach spaces with nonlocal conditions. By using suitable fixed-point theorems, we study the cases when the multivalued map has convex values as well as nonconvex values.

Suggested Citation

  • M. Benchohra & E.P. Gatsori & S.K. Ntouyas, 2003. "Controllability Results for Semilinear Evolution Inclusions with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 493-513, September.
    • Handle: RePEc:spr:joptap:v:118:y:2003:i:3:d:10.1023_b:jota.0000004868.61288.8e
    DOI: 10.1023/B:JOTA.0000004868.61288.8e
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    References listed on IDEAS

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    1. M. Benchohra & S. K. Ntouyas, 2001. "Controllability of Nonlinear Differential Equations in Banach Space with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 110(2), pages 315-324, August.
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    Cited by:

    1. Vijayakumar, V. & Selvakumar, A. & Murugesu, R., 2014. "Controllability for a class of fractional neutral integro-differential equations with unbounded delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 303-312.
    2. Amar Debbouche & Juan J. Nieto & Delfim F. M. Torres, 2017. "Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 7-31, July.

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