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Controllability of impulsive functional differential systems in Banach spaces

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  • Li, Meili
  • Wang, Miansen
  • Zhang, Fengqin

Abstract

This paper is concerned with the controllability of the first-order impulsive functional differential systems in a Banach space. Sufficient conditions for controllability are obtained by using the Schaefer fixed-point theorem. An example is provided to illustrate the theory.

Suggested Citation

  • Li, Meili & Wang, Miansen & Zhang, Fengqin, 2006. "Controllability of impulsive functional differential systems in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 175-181.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:175-181
    DOI: 10.1016/j.chaos.2005.08.041
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    References listed on IDEAS

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    1. K. Balachandran & P. Balasubramaniam, 1995. "Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-8, January.
    2. M. Benchohra & S. K. Ntouyas, 2000. "Controllability of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 107(3), pages 559-571, December.
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    Cited by:

    1. Chang, Yong-Kui & Anguraj, A. & Mallika Arjunan, M., 2009. "Controllability of impulsive neutral functional differential inclusions with infinite delay in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1864-1876.
    2. Subalakshmi, R. & Balachandran, K., 2009. "Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in hilbert spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2035-2046.
    3. Y. K. Chang & J. J. Nieto & W. S. Li, 2009. "Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 267-273, August.
    4. G. Arthi & K. Balachandran, 2012. "Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 152(3), pages 799-813, March.
    5. Chang, Yong-Kui, 2007. "Controllability of impulsive functional differential systems with infinite delay in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1601-1609.

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