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Approximate controllability of semilinear measure driven systems

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  • Yueju Cao
  • Jitao Sun

Abstract

This paper investigates approximate controllability of semilinear measure driven equations in Hilbert spaces. By using the semigroup theory and Schauder fixed point theorem, sufficient conditions for approximate controllability of measure driven equations are established. The obtained results are a generalization and continuation of the recent results on this issue. Finally, an example is provided to illustrate the application of the obtained results.

Suggested Citation

  • Yueju Cao & Jitao Sun, 2018. "Approximate controllability of semilinear measure driven systems," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 1979-1988, September.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:13:p:1979-1988
    DOI: 10.1002/mana.201600200
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    Cited by:

    1. Jing Zhang & Haide Gou, 2024. "A Study of Positive Solutions for Semilinear Fractional Measure Driven Functional Differential Equations in Banach Spaces," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    2. 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.
    3. 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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