Search Results - "Rautian, N. A."

On the Properties of Semigroups Generated by Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals by Rautian, N. A.

“…Volterra integro-differential equations with integral operator kernels representable by Stieltjes integrals of the exponential function are studied. The…”
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Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups by Rautian, N. A.

“…We study abstract Volterra integro-differential equations with kernels of integral operators represented by Stieltjes integrals. The results are based on an…”
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On the Properties of the Generators of Semigroups Associated with Volterra Integro-Differential Equations by Rautian, N. A.

“…The paper studies the properties of a linear operator that is the generator of a semigroup associated with Volterra integro-differential equations in Hilbert…”
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Well-Posed Solvability of Volterra Integro-Differential Equations in Hilbert Spaces by Vlasov, V. V., Rautian, N. A.

“…We study the well-posed solvability of initial value problems for Volterra integro-differential equations in a Hilbert space with kernels of integral operators…”
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Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation by Vlasov, V. V., Rautian, N. A.

“…The spectral properties of a linear operator that is the generator of a semigroup generated by a Volterra integro-differential equation in a Hilbert space are…”
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Exponential Stability of Semigroups Generated by Volterra Integro-Differential Equations with Singular Kernels by Vlasov, V. V., Rautian, N. A.

“…In a separable Hilbert space, we study abstract linear inhomogeneous second-order Volterra integro-differential equations on the positive half-line with…”
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Application of Semigroup Theory to the Study of Volterra Integro-Differential Equations by Vlasov, V. V., Rautian, N. A.

“…We study abstract Volterra integro-differential equations, which are operator models of problems in the theory of viscoelasticity. The class of equations under…”
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Well-Posed Solvability of Integro-Differential Equations in Spaces of Vector Functions Holomorphic in a Sector by Vlasov, V. V., Rautian, N. A.

“…We study linear spaces of vector functions that are holomorphic in an angular domain of the complex plane and take values in a separable Hilbert space. It is…”
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Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces by Rautian, N. A.

“…Volterra integro-differential equations with operator coefficients in Hilbert spaces are studied. Previously obtained results are used to establish the…”
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Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory by Rautian, N. A.

“…Volterra integro-differential equations that are operator models of viscoelasticity problems are investigated. The class of equations under consideration also…”
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Semigroups Generated by Volterra Integro-Differential Equations by Rautian, N. A.

“…We study abstract integro-differential equations that are operator models of problems in viscoelasticity. We present results based on an approach related to…”
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Well-posed solvability of volterra integro-differential equations in Hilbert space by Vlasov, V. V., Rautian, N. A.

“…We study the well-posed solvability of initial value problems for abstract integrodifferential equations with unbounded operator coefficients in a Hilbert…”
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Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations by Rautian, N. A.

“…integro-differential equations that are operator models of viscoelasticity problems are studied. The kernels of the integral operators can be specified as sums…”
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On Spaces of Vector Functions that are Holomorphic in an Angular Domain by Vlasov, V. V., Rautian, N. A.

“…In this paper, we study spaces of vector functions that are holomorphic in an angular domain of the complex plane and with values in a separable Hilbert space…”
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Investigation of Integro-Differential Equations by Methods of Spectral Theory by Vlasov, V. V., Rautian, N. A.

“…This paper provides a survey of results devoted to the study of integro-differential equations with unbounded operator coefficients in a Hilbert space. These…”
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Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals by Vlasov, V. V., Rautian, N. A.

“…Volterra integro-differential equations with kernels of integral operators representable by Stieltjes integrals are investigated. The presented results are…”
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Measure of Unloading Disproportion in the Theory of Small Elastoplastic Deformations by Georgievskii, D. V., Rautian, N. A.

“…From the standpoint of the theory of small elastoplastic deformations, the stress-strain state of the continuous medium along various unloading trajectories…”
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Spectral Analysis of the Generators for Semigroups Associated with Volterra Integro-Differential Equations by Rautian, N. A., Vlasov, V. V.

“…The paper studies the properties of a linear operator that is the generator of a semigroup associated with Volterra integro-differential equations in Hilbert…”
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On Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals by Vlasov, V. V., Rautian, N. A.

“…We consider abstract linear inhomogeneous second-order integro-differential equations in a Hilbert space that are defined on the positive half-line and have…”
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Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain by Vlasov, V. V., Rautian, N. A.

“…Integrodifferential equations with unbounded operator coefficients in a Hilbert space are studied. The main part of an equation of this kind is an abstract…”
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