Correct solvability and exponential stability for solutions of Volterra integro-differential equations

DOI10.1134/S1064562421050124OpenAlexW4210657173WikidataQ115247441 ScholiaQ115247441MaRDI QIDQ2116718

N. A. Rautian

Publication date: 18 March 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421050124

zbMATH Keywords

exponential stabilityVolterra integro-differential equationslinear differential equations in Hilbert spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Integro-differential operators (47G20)

Related Items (1)

Exact Solutions of One Nonlinear Countable-Dimensional System of Integro-Differential Equations

Cites Work

• Non-homogeneous media and vibration theory
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• Correct solvability and representation of solutions of Volterra integrodifferential equations with fractional exponential kernels
• A study of operator models arising in problems of hereditary mechanics
• A general theory of heat conduction with finite wave speeds
• Boundary-value problems for elliptic functional-differential equations and their applications
• Thermodynamics of Materials with Memory
• One-Parameter Semigroups for Linear Evolution Equations
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