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A spectral problem with integral conditions

Abstract

In this paper, we consider an ordinary differential operator with integral conditions. We obtain an a priori estimate of the solutions and prove the sector structure and the discreteness of the spectrum of this operator.

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Correspondence to A. L. Skubachevsky.

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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 28, Part I, pp. 147–160, 2011.

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Darovskaya, K.A., Skubachevsky, A.L. A spectral problem with integral conditions. J Math Sci 179, 437–445 (2011). https://doi.org/10.1007/s10958-011-0602-5

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  • DOI: https://doi.org/10.1007/s10958-011-0602-5

Keywords

  • Integral Condition
  • Spectral Problem
  • Root Function
  • Nonlocal Condition
  • Picone