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<p>We consider and inverse initial-boundary value problem on a bounded interval for a system of odd-order quasilinear evolution equations. We choose integral conditions as overdeterminations, and the controls are boundary functions and right-hand sides of equations of a special type. We prove the existence and uniqueness of solution for small initial data or a small time interval.</p>

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INVERSE INITIAL-BOUNDARY VALUE PROBLEM FOR A SYSTEM OF ODD-ORDER QUASILINEAR EVOLUTION EQUATIONS

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • O. S. Balashov,
  • A. V. Faminskii

摘要

We consider and inverse initial-boundary value problem on a bounded interval for a system of odd-order quasilinear evolution equations. We choose integral conditions as overdeterminations, and the controls are boundary functions and right-hand sides of equations of a special type. We prove the existence and uniqueness of solution for small initial data or a small time interval.