Existence of solutions for second order evolution inclusions with application to mechanical contact problems

DOI10.1080/02331930500530187zbMath1104.34045OpenAlexW2076008569MaRDI QIDQ5475293

Anna Ochal, Stanislaw Migórski

Publication date: 16 June 2006

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500530187

zbMATH Keywords

frictionhemivariational inequalitysubdifferentialviscoelasticitycontact problempseudomonotone

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Friction in solid mechanics (74M10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Second-order nonlinear hyperbolic equations (35L70) Evolution inclusions (34G25) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (21)

Control systems described by a class of fractional semilinear evolution hemivariational inequalities and their relaxation property ⋮ Boundary hemivariational inequality problems with doubly nonlinear operators ⋮ Numerical analysis of a dynamic bilateral thermoviscoelastic contact problem with nonmonotone friction law ⋮ Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Hyperbolic hemivariational inequalities for dynamic viscoelastic contact problems ⋮ Decay of energy for second-order boundary hemivariational inequalities with coercive damping ⋮ Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality ⋮ Solvability and continuous dependence results for second order nonlinear evolution inclusions with a Volterra-type operator ⋮ Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions ⋮ Evolution hemivariational inequality problems with doubly nonlinear operators ⋮ Approximate controllability for a class of hemivariational inequalities ⋮ A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity ⋮ Existence results for quasilinear parabolic hemivariational inequalities ⋮ On the approximate controllability for fractional evolution hemivariational inequalities ⋮ A unified approach to dynamic contact problems in viscoelasticity ⋮ Hemivariational inequality approach to the dynamic viscoelastic contact problem with nonmonotone normal compliance and slip-dependent friction ⋮ On the ``bang-bang principle for nonlinear evolution hemivariational inequalities control systems ⋮ On the approximate controllability for some impulsive fractional evolution hemivariational inequalities ⋮ Nonlocal controllability of Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential ⋮ Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities ⋮ Analysis of an adhesive contact problem for viscoelastic materials with long memory

Cites Work

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• Existence results for evolution hemivariational inequalities of second order
• Boundary hemivariational inequality of parabolic type
• Modelling of nonconvex nonsmooth energy problems. Dynamic hemivariational inequalities with impact effects
• Dynamic hemivariational inequalities and their applications
• Optimal control of nonlinear second order evolution equations
• Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction

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