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Total Controllability of Non-Autonomous Measure Evolution Systems with Non-Instantaneous Impulses and State-Dependent Delay

Author

Listed:
  • Yang Wang

    (School of Information Engineering, Shandong Management University, Jinan 250357, China)

  • Yongyang Liu

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China)

  • Yansheng Liu

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China)

Abstract

This paper is concerned with the existence of mild solutions and total controllability for a class of non-autonomous measure evolution systems with non-instantaneous impulses and state-dependent delay. By using the theory of evolution family and Krasnoselskii’s fixed point theorem, the existence of mild solutions and total controllability for the considered systems is obtained. Finally, we give two applications to support the validity of the study.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2557-:d:869259
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    References listed on IDEAS

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    3. 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.
    4. Yueju Cao & Jitao Sun, 2018. "Approximate controllability of semilinear measure driven systems," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 1979-1988, September.
    5. Kavitha, K. & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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