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Controllability and Hyers-Ulam Stability of Impulsive Integro-differential Equations in Banach Spaces via Iterative Methods

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  • Adisorn Doodee
  • Anusorn Chonwerayuth

Abstract

We investigate Hyers-Ulam stability and controllability of a system governed by impulsive integro-differential equations. Sufficient conditions for controllability and Hyers-Ulam stability are simultaneously established by using iterative methods. Moreover, we provide some examples for demonstrating the main result.

Suggested Citation

  • Adisorn Doodee & Anusorn Chonwerayuth, 2022. "Controllability and Hyers-Ulam Stability of Impulsive Integro-differential Equations in Banach Spaces via Iterative Methods," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(4), pages 1-85, November.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2022:i:4:p:85
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    References listed on IDEAS

    as
    1. K. Balachandran & J.P. Dauer, 2002. "Controllability of Nonlinear Systems in Banach Spaces: A Survey," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 7-28, October.
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
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