<p>In this paper, we clarify the growth rate of eigenvalues of one fourth-order spectral problem with nonsmooth solutions. The analysis is based on the pointwise approach proposed by Yu.&#xa0;V.&#xa0;Pokornyi, which has shown its effectiveness in studying linear second- and fourth-order boundary-value problems with continuous solutions.</p>

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ON THE GROWTH RATE OF EIGENVALUES OF A FOURTH-ORDER SPECTRAL PROBLEM WITH MEASURE DERIVATIVES

  • S. A. Shabrov,
  • M. V. Shabrova,
  • E. A. Shaina

摘要

In this paper, we clarify the growth rate of eigenvalues of one fourth-order spectral problem with nonsmooth solutions. The analysis is based on the pointwise approach proposed by Yu. V. Pokornyi, which has shown its effectiveness in studying linear second- and fourth-order boundary-value problems with continuous solutions.