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<p>In this paper, we investigate the exact controllability of second-order semilinear boundary control systems. First, we study the well-posedness and we show that the mild solutions can be represented explicitly by a variation of constants formula. Then we prove, using this formula, the exact controllability of our system. An example of a boundary control wave equation is considered to illustrate the obtained results.</p>

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Controllability of second-order semilinear boundary Cauchy problems

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Walid Hidda,
  • Mohammed Moussi

摘要

In this paper, we investigate the exact controllability of second-order semilinear boundary control systems. First, we study the well-posedness and we show that the mild solutions can be represented explicitly by a variation of constants formula. Then we prove, using this formula, the exact controllability of our system. An example of a boundary control wave equation is considered to illustrate the obtained results.