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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces

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  • X. J. Wan
  • Y. P. Zhang
  • J. T. Sun

Abstract

We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. Moreover, a remark is given to explain less conservative criteria for special cases, and work is improved in the previous literature.

Suggested Citation

  • X. J. Wan & Y. P. Zhang & J. T. Sun, 2013. "Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:861568
    DOI: 10.1155/2013/861568
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    References listed on IDEAS

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    1. Shiguo Peng & Liping Yang, 2010. "Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Shiguo Peng & Liping Yang, 2010. "Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-11, February.
    3. 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.
    4. Andrew J. Berry & Leonid V. Danyushevsky & Hugh St C. O’Neill & Matt Newville & Stephen R. Sutton, 2008. "Oxidation state of iron in komatiitic melt inclusions indicates hot Archaean mantle," Nature, Nature, vol. 455(7215), pages 960-963, October.
    5. 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, John Wiley & Sons, vol. 2010(1).
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    Cited by:

    1. Hai Zhang & Jinde Cao & Wei Jiang, 2013. "Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. R. Ganesh & R. Sakthivel & N. I. Mahmudov & S. M. Anthoni, 2013. "Approximate Controllability of Fractional Integrodifferential Evolution Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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