EIGENVALUE PROBLEM ASSOCIATED WITH THE FOURTH ORDER DIFFERENTIAL-OPERATOR EQUATION

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

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.48, no.6, pp.1763-1779, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.1216/rmj-2018-48-6-1763
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1763-1779
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we investigate the boundary value problem for fourth order differential operator equations with unbounded operator coefficients and one lambda-dependent boundary condition. We obtain an asymptotic formula for eigenvalues and a trace formula for the corresponding self-adjoint operator.