References
- Ahmed , NU . 1986 . Existence of optimal controls for a class of systems governed by differential inclusions in Banach spaces . Journal of Optimization Theory and Applications , 50 ( 2 ) : 213 – 237 .
- Ahmed , NU . 1994 . “ Optimal Relaxed Controls for Nonlinear Infinite Dimensional Stochastic Differential Inclusions ” . In Lecture Notes in Pure and Applied Mathematics , Edited by: Pavel , NH . Vol. 160 , 1 – 19 . New York, Basel, Hong Kong : Marcel Dekker, Inc. .
- Ahmed , NU and Kerbal , S . 1993 . Optimal control of nonlinear second order evolution equations . Journal of Applied Mathematics and Stochastic Analysis , 6 : 123 – 136 .
- Aubin , JP and Cellina , A . 1984 . Differential Inclusions. Set-Valued Maps and Viability Theory , Berlin, New York, Tokyo : Springer-Verlag .
- Clarke , FH . 1983 . Optimization and Nonsmooth Analysis , New York : Wiley-Interscience .
- Denkowski , Z , Migórski , S and Papageorgiou , NS . 2003 . An Introduction to Nonlinear Analysis: Theory , Boston, Dordrecht, London, New York : Kluwer Academic/Plenum Publishers .
- Denkowski , Z , Migórski , S and Papageorgiou , NS . 2003 . An Introduction to Nonlinear Analysis: Applications , Boston, Dordrecht, London, New York : Kluwer Academic/Plenum Publishers .
- Dumont , Y , Goeleven , D , Rochdi , M , Kuttler , KL and Shillor , M . 2000 . A dynamic model with friction and adhesion with applications to rocks . Journal of Mathematical Analysis and Applications , 247 : 87 – 109 .
- Duvaut , G and Lions , JL . 1976 . Inequalities in Mechanics and Physics , Berlin : Springer-Verlag .
- Goeleven , D , Miettinen , M and Panagiotopoulos , PD . 1999 . Dynamic hemivariational inequalities and their applications . Journal of Optimization Theory and Applications , 103 ( 3 ) : 567 – 601 .
- Goeleven , D , Motreanu , D , Dumont , Y and Rochdi , M . 2003 . Variational and Hemivariational Inequalities: Theory, Methods and Applications , Boston, Dordrecht, London : Kluwer Academic Publishers .
- Han , W and Sofonea , M . 2002 . Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity , International Press, American Mathematical Society .
- Lions , JL . 1969 . Quelques méthodes De Résolution Des Problémes Aux Limites Non Linéaires , Paris : Dunod .
- Migórski , S . 1995 . Existence and relaxation results for nonlinear second order evolution inclusions . Discussiones Mathematicae. Differential Inclusions , 15 : 129 – 148 .
- Migórski , S . 1995 . Existence, variational and optimal control problems for nonlinear second order evolution inclusions . Dynamic Systems and Applications , 4 : 513 – 528 .
- Migórski , S . 2000 . Existence and convergence results for evolution hemivariational inequalities . Topological Methods in Nonlinear Analysis , 16 : 125 – 144 .
- Migórski , S . 2005 . Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction . Applicable Analysis , 84 ( 7 ) : 669 – 699 .
- Migórski , S and Ochal , A . 2004 . Boundary hemivariational inequality of parabolic type . Nonlinear Analysis. Theory, Methods Nonlinear Analysis. Theory, Methods & Applications , 57 ( 4 ) : 579 – 596 .
- Migórski , S and Ochal , A . 2005 . A unified approach to dynamic contact problems in viscoelasticity . Journal of Elasticity , (In press)
- Mistakidis , ES and Panagiotopoulos , PD . 1998 . The search for substationarity points in the unilateral contact problems with nonmonotone friction . Mathematical and Computer Modelling , 28 ( 4–8 ) : 341 – 358 .
- Naniewicz , Z and Panagiotopoulos , PD . 1995 . Mathematical Theory of Hemivariational Inequalities and Applications , New York–Basel–Hong Kong : Marcel Dekker, Inc. .
- Ochal , A . 2005 . Existence results for evolution hemivariational inequalities of second order . Nonlinear Analysis. Theory, Methods & Applications , 60 : 1369 – 1391 .
- Panagiotopoulos , PD . 1985 . Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions , Basel : Birkhäuser .
- Panagiotopoulos , PD . 1993 . Hemivariational Inequalities, Applications in Mechanics and Engineering , Berlin : Springer-Verlag .
- Panagiotopoulos , PD . 1995 . Modelling of nonconvex nonsmooth energy problems: dynamic hemivariational inequalities with impact effects . Journal of Computational and Applied Mathematics , 63 : 123 – 138 .
- Papageorgiou , NS . 1992 . Optimal control of nonlinear second order evolution equations . Glasnik Matematicki , 27 : 297 – 311 .
- Tolstonogov , AA . 2002 . Properties of the set of extreme solutions for a class of nonlinear second order evolution inclusions . Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications , 10 : 53 – 77 .
- Zeidler , E . 1990 . Nonlinear Functional Analysis and Applications II A/B , New York : Springer .