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Differential Equations

, Volume 54, Issue 9, pp 1261–1265 | Cite as

Spectral Analysis of Differential Operators with Involution and Operator Groups

  • A. G. Baskakov
  • N. B. Uskova
Short Communications
  • 7 Downloads

Abstract

We study the spectral properties of differential operators with involution of the following two types: operators with involution multiplying the potential and operators with involution multiplying the derivative. The similar operator method is used to obtain a refined asymptotics of the eigenvalues and eigenvectors of such operators. These asymptotics are used to derive asymptotic formulas for the operator groups generated by the operators in question. These operator groups can be used to describe mild solutions of the corresponding mixed problems.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Voronezh State UniversityVoronezhRussia
  2. 2.Khetagurov North Ossetian State UniversityVladikavkazRussia
  3. 3.Voronezh State Technical UniversityVoronezhRussia

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