Doklady Mathematics

, Volume 98, Issue 2, pp 502–505 | Cite as

Well-Posedness and Spectral Analysis of Volterra Integro-Differential Equations with Singular Kernels

  • V. V. VlasovEmail author
  • N. A. Rautian


Integro-differential equations with unbounded operator coefficients in a Hilbert space are considered. Such equations arise in viscoelasticity theory, thermal physics, and homogenization problems in multiphase media. Initial–boundary value problems for the indicated equations are proved to be well posed, and their spectral analysis is performed.


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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