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Representations of the solutions for volterra integro-differential equations in hilbert spaces
- Authors: Rautian N.A.1,2
-
Affiliations:
- Lomonosov Moscow State University
- Moscow Center for Fundamental and Applied Mathematics
- Issue: Vol 517, No 1 (2024)
- Pages: 85-91
- Section: MATHEMATICS
- URL: https://journal-vniispk.ru/2686-9543/article/view/265426
- DOI: https://doi.org/10.31857/S2686954324030144
- EDN: https://elibrary.ru/YADJRU
- ID: 265426
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Abstract
Volterra integro-differential equations with operator coefficients in Hilbert spaces were studied. The relationship has been established between the spectra of operator functions that are the symbols of the specified integro-differential equations and the spectra of generators of semigroups. Representations of solutions for considered integro-differential equations are obtained on the basis of spectral analysis of generators of operator semigroups and corresponding operator-functions.
About the authors
N. A. Rautian
Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics
Author for correspondence.
Email: nadezhda.rautian@math.msu.ru
Russian Federation, Moscow; Moscow
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