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Abstract <p>We consider an even-order ordinary differential operator with a spectral parameter and integral conditions. An a priori estimate of solutions to the problem is obtained for sufficiently large values of the spectral parameter. The discreteness and the sectoral structure of the spectrum of the corresponding operators are proved.</p>

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Ordinary Differential Equations of Even Order with Integral Conditions

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • R. A. Bayrash,
  • A. L. Skubachevskii

摘要

Abstract

We consider an even-order ordinary differential operator with a spectral parameter and integral conditions. An a priori estimate of solutions to the problem is obtained for sufficiently large values of the spectral parameter. The discreteness and the sectoral structure of the spectrum of the corresponding operators are proved.