Spectral asymptotics for problems with integral constraints
- Authors: Petrova Y.P.1
-
Affiliations:
- St. Petersburg State University
- Issue: Vol 102, No 3-4 (2017)
- Pages: 369-377
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150109
- DOI: https://doi.org/10.1134/S0001434617090073
- ID: 150109
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Abstract
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.
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About the authors
Yu. P. Petrova
St. Petersburg State University
Author for correspondence.
Email: delafer21@gmail.ru
Russian Federation, St. Petersburg
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