Email this article Representation of solutions of integro-differential equations with kernels depending on the parameter
- Authors: Perez Ortiz R.1, Rautian N.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 1 (2017)
- Pages: 139-143
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154257
- DOI: https://doi.org/10.1134/S0012266117010141
- ID: 154257
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Abstract
Integro-differential equations with unbounded operator coefficients in a separable Hilbert space are studied. These equations are an abstract form of the Gurtin–Pipkin-type equation, which describes finite-speed propagation of heat in media with memory. A representation of strong solutions of these equations is derived in the form of the sums of series in exponents that correspond to the spectral points of operator-functions that are the symbols of these equations.
About the authors
R. Perez Ortiz
Lomonosov Moscow State University
Author for correspondence.
Email: cemees.romeo@gmail.com
Russian Federation, Moscow, 119992
N. A. Rautian
Lomonosov Moscow State University
Email: cemees.romeo@gmail.com
Russian Federation, Moscow, 119992
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