Spectral analysis of integro-differential equations in viscoelasticity and thermal physics

DOI10.1134/S0001434615090357zbMath1338.45001MaRDI QIDQ276694

V. V. Vlasov, R. Perez Ortiz

Publication date: 4 May 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

heat conductionviscoelasticityintegro-differential equationspectral analysismaterials with memoryoperator function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Linear constitutive equations for materials with memory (74D05) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05)

Related Items (9)

Representation of solutions of integro-differential equations with kernels depending on the parameter ⋮ A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials ⋮ Determination of the coefficient and boundary regime in boundary value problem for integro-differential equation with degenerate kernel ⋮ Nonlocal boundary value problem for a nonlinear Fredholm integro-differential equation with degenerate kernel ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Study of functional-differential equations with unbounded operator coefficients ⋮ Study of Volterra integro-differential equations with kernels depending on a parameter ⋮ Обыкновенное интегро-дифференциальное уравнение с вырожденным ядром и интегральным условием ⋮ An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function

Cites Work

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• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• A general theory of heat conduction with finite wave speeds
• Asymptotic behaviour of the energy for electromagnetic systems with memory
• Thermodynamics of Materials with Memory

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