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<p>We consider a Sturm–Liouville problem on [0,&#xa0;1] with Dirichlet boundary conditions and weighted integral conditions on the potential, where one of the conditions means that the potential may have singularities of different orders at the endpoints of the segment [0,&#xa0;1]. We study exact lower estimates for the first eigenvalue of the problem for some values of one the parameters of the integral conditions.</p>

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ON ATTAINABILITY OF THE LOWER BOUND OF THE MINIMAL EIGENVALUE OF THE STURM–LIOUVILLE PROBLEM WITH WEIGHTED INTEGRAL CONDITIONS ON THE POTENTIAL

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • S. S. Ezhak,
  • M. Yu. Telnova

摘要

We consider a Sturm–Liouville problem on [0, 1] with Dirichlet boundary conditions and weighted integral conditions on the potential, where one of the conditions means that the potential may have singularities of different orders at the endpoints of the segment [0, 1]. We study exact lower estimates for the first eigenvalue of the problem for some values of one the parameters of the integral conditions.