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<p>This work explores the optimal control outcomes for second-order Sobolev-type stochastic integrodifferential systems involving impulses and nonlocal conditions. We verify the existence of the mild solutions for the considered system through stochastic analysis and the fixed-point approach involving the cosine family. Additionally, we address the Lagrange problem to confirm the existence of optimal controls. A relevant case study illustrates the key findings of our research.</p>

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Results concerning the optimal control for second-order Sobolev-type stochastic integrodifferential equations with impulses and nonlocal conditions

  • 期刊论文

  • 发表日期：

    2025年1月4日

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  • M. Johnson,
  • V. Vijayakumar,
  • Kiwoon Kwon

摘要

This work explores the optimal control outcomes for second-order Sobolev-type stochastic integrodifferential systems involving impulses and nonlocal conditions. We verify the existence of the mild solutions for the considered system through stochastic analysis and the fixed-point approach involving the cosine family. Additionally, we address the Lagrange problem to confirm the existence of optimal controls. A relevant case study illustrates the key findings of our research.