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Controllability of measure driven evolution systems with nonlocal conditions

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  • Cao, Yueju
  • Sun, Jitao

Abstract

This paper investigates complete controllability of semilinear measure driven differential systems with nonlocal conditions. Without assuming the compactness of the evolution system related to the linear part of the measure system, some sufficient conditions for controllability are established by using the measure of noncompactness and the Mönch fixed point theorem. The results obtained here improve and generalize many known results.

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  • Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.
    • Handle: RePEc:eee:apmaco:v:299:y:2017:i:c:p:119-126
    DOI: 10.1016/j.amc.2016.11.037
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    References listed on IDEAS

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    1. Dubey, Bhaskar & George, Raju K., 2015. "Controllability of impulsive matrix Lyapunov systems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 327-339.
    2. Liu, Zhenhai & Zeng, Biao, 2015. "Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 178-189.
    3. Balachandran, K. & Govindaraj, V. & Rivero, M. & Trujillo, J.J., 2015. "Controllability of fractional damped dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 66-73.
    4. 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.
    5. Liang, Jin & Yang, He, 2015. "Controllability of fractional integro-differential evolution equations with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 20-29.
    6. Lu, Liang & Liu, Zhenhai, 2015. "Existence and controllability results for stochastic fractional evolution hemivariational inequalities," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1164-1176.
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    Cited by:

    1. Yang Wang & Yongyang Liu & Yansheng Liu, 2022. "Total Controllability of Non-Autonomous Measure Evolution Systems with Non-Instantaneous Impulses and State-Dependent Delay," Mathematics, MDPI, vol. 10(15), pages 1-15, July.
    2. Kumar, Surendra, 2023. "On approximate controllability of non-autonomous measure driven systems with non-instantaneous impulse," Applied Mathematics and Computation, Elsevier, vol. 441(C).

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