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<p>In this paper, we consider the inverse problem of determining the source for a one-dimensional pseudo-parabolic equation. The existence and uniqueness of the solution of the inverse problem in question is proved. It is shown that for a small parameter tending to zero, the solutions of the inverse problem for a pseudo-parabolic equation converge to the solution of the corresponding inverse problem for the heat equation. Bibl. 42</p>

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ON THE ASYMPTOTICS OF SOLUTIONS TO THE INVERSE PROBLEM FOR A PSEUDOPARABOLIC EQUATION WITH A SMALL PARAMETER AT THE HIGHEST DERIVATIVE

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Baktybay Ablabekov,
  • Ainura Kurmanbaeva

摘要

In this paper, we consider the inverse problem of determining the source for a one-dimensional pseudo-parabolic equation. The existence and uniqueness of the solution of the inverse problem in question is proved. It is shown that for a small parameter tending to zero, the solutions of the inverse problem for a pseudo-parabolic equation converge to the solution of the corresponding inverse problem for the heat equation. Bibl. 42