The effective solution of two-dimensional integro-differential equations and their applications in the theory of viscoelasticity

DOI10.1002/zamm.201400091zbMath1335.45004OpenAlexW1507215896MaRDI QIDQ2803464

Nugzar Shavlakadze

Publication date: 4 May 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400091

zbMATH Keywords

viscoelasticityintegro-differential equationcontact problemVolterra's integral equationCarleman type boundary value problemFourier's integral transformation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Classical linear elasticity (74B05) Plates (74K20) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09)

Related Items

Unnamed Item, The investigation of singular integro-differential equations relating to adhesive contact problems of the theory of viscoelasticity, Unnamed Item

Cites Work

• Steady-state creep of a pressurized thick cylinder in both the linear and the power law ranges
• The solution of system of integral differential equations and its application in the theory of elasticity
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