Study of Volterra Integro-Differential Equations with Kernels Depending on a Parameter


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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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