Н. А. Раутиан

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Finite Velocity of Propagation of Perturbations in the Cauchy Problem for the Wave Integro-Differential Equation with the Fractional-Exponential Memory Function2026 · аннотациясвернуть

  Abstract The paper is devoted to the study of the Cauchy problem for the Volterra integro-differential equation, the main part of which is a wave equation perturbed by an integral operator in the form of a Volterra…

• On the Existence and Uniqueness of a Fundamental Solution with Support in a Cone for a Multidimensional Wave Integro-Differential Operator with a Kernel Representable by Generalized Mittag-Leffler Functions2026
• Hyperbolic Property of a Linear Volterra Integro-Differential Operator in Problems of Oscillations of a Viscoelastic Rod2025
• Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces2024
• Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals2024
• Semigroups Generated by Volterra Integro-Differential Equations2020 · аннотациясвернуть

  Abstract We study abstract integro-differential equations that are operator models of problems in viscoelasticity. We present results based on an approach related to the study of one-parameter semigroups for linear…

• Well-Posedness and Spectral Analysis of Integrodifferential Equations Arising in Viscoelasticity Theory2018
• Analysis of Operator Models Arising in Problems of Hereditary Mechanics2014