On the stability of the zero solution of a one-dimensional mathematical model of viscoelasticity

zbMath0732.73021MaRDI QIDQ808758

Vladimir Orlov

Publication date: 1991

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

existenceestimatesinitial boundary value problemLagrangian coordinatesglobal in time solutionnonlinear problemabstract differential equation of second ordercoercive solvabilityhomogeneous Dirichlet boundary datalinear differential equation in Banach spacesLyapunov's stability of the zero solutionmotion of a one-dimensional, physical linear viscoelastic mediumnonlocal solvability for small initial data

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Dynamical problems in solid mechanics (74Hxx)

Related Items (2)

Unnamed Item ⋮ Stability of zero solution of mathematical model of multidimensional barotropic viscoelastic medium

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