SOME SPECTRAL PROPERTIES OF FOURTH ORDER DIFFERENTIAL OPERATOR EQUATION


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Aslanova N. M., Bayramoglu M., Aslanov K. M.

OPERATORS AND MATRICES, vol.12, no.1, pp.287-299, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.7153/oam-2018-12-19
  • Journal Name: OPERATORS AND MATRICES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.287-299
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

We consider boundary value problem for fourth order differential equation with unbounded discrete operator coefficient. One of the boundary conditions involves the. parameter. The asymptotics of spectrum of corresponding selfadjoint operator is obtained. We also calculate the trace of that operator.