RUS  ENG
Full version
JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2016, Volume 44, Issue 20, Pages 60–68 (Mi pmf130)

MATHEMATICS

Asymptotic behavior of the eigenvalues of adifferential operator with non-local boundary conditions

A. N. Shelkovoy

Воронежский государственный технический университет

Abstract: We use the method of similar operators to study the spectral properties of a second order differential operator with non-local boundary conditions. We obtain results on the asymptotic behavior of the spectrum of suchoperators and convergence of the corresponding spectral decompositions.

Keywords: operator spectrum, differential of second order operator, spectrum asymptotic, method of similaroperators.

UDC: 517.9



© Steklov Math. Inst. of RAS, 2026