Study of Volterra Integro-Differential Equations with Kernels Depending on a Parameter
- Authors: Vlasov V.V.1, Perez Ortiz R.1, Rautian N.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 54, No 3 (2018)
- Pages: 363-380
- Section: Integral Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154714
- DOI: https://doi.org/10.1134/S0012266118030084
- ID: 154714
Cite item
Abstract
We carry out spectral analysis of operator functions that are the symbols of integro-differential equations with unbounded operator coefficients in a separable Hilbert space. The structure and localization of the spectrum of operator functions which are symbols of these equations play an important role in studies of the asymptotic behavior of their solutions.
About the authors
V. V. Vlasov
Lomonosov Moscow State University
Author for correspondence.
Email: vikmont@yandex.ru
Russian Federation, Moscow, 119991
R. Perez Ortiz
Lomonosov Moscow State University
Email: vikmont@yandex.ru
Russian Federation, Moscow, 119991
N. A. Rautian
Lomonosov Moscow State University
Email: vikmont@yandex.ru
Russian Federation, Moscow, 119991
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