The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of nth order.

Original languageRussian
Pages (from-to)369-377
Number of pages9
JournalMathematical Notes
Volume102
Issue number3-4
DOIs
StatePublished - 1 Sep 2017

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Gaussian process, small deviation, spectral asymptotics

ID: 35814737