Nonlinear impulsive evolution inclusions of second order

Dynamic Systems and Applications

Volumn 16, Issue 1 SPEC. ISS., 2007, Pages 155-174

  Migórski, Stanislaw ^a   Ochal, Anna ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34248523306     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. N.U. Ahmed, Measure solution for impulsive systems in Banach spaces and their control, Dyn. Cont. Discrete Impulsive Systems. 6:519-535, 1999.
2. N.U. Ahmed, Systems governed by impulsive differential inclusions on Hubert spaces. Nonlinear Analysis, 45:693-706, 2001.
3. N.U. Ahmed, K.L. Teo and S.H. Hou, Nonlinear impulsive systems on infinite dimensional spaces, Nonlinear Analysis, 54:907-925, 2003.
4. M. Benchohra, A. Boucherif and A. Ouahabi, On nonresonance impulsive functional differential inclusions with nonconvex valued right-hand side, J. Math. Anal. Appl., 282:85-94, 2003.
5. M. Benchohra and A. Ouahab, Initial and boundary value problems for second order impulsive functional differential inclusions, Electron. J. Qual. Theory Differ. Equ., 3:1-10, 2003.
6. I. Benedetti, An existence result for impulsive functional differential inclusions in Banach spaces, Discussiones Math., 24:13-30, 2004.
7. F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley, Interscience, New York, 1983.
8. Z. Denkowski, S. Migórski and N.S. Papageorgiou, An Introduction to Nonlinear Analysis: Theory, Kluwer Academic/Plenum Publishers, Boston, Dordrecht, London, New York, 2003.
9. Z. Denkowski, S. Migórski and N.S. Papageorgiou, An Introduction to Nonlinear Analysis: Applications, Kluwer Academic/Plenum Publishers, Boston, Dordrecht, London, New York, 2003.
10. E. Hernández, A second order impulsive Cauchy problem, Cadernos de Matematica, 02:229-238, 2001.
11. V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
12. J.H. Liu, Nonlinear impulsive evolution equations. Dynam. Cont. Discrete Impuls. Systems. 6:77-85, 1999.
13. S. Migórski, Existence and relaxation results for nonlinear second order evolution inclusions. Discussiones Math., 15:129-148, 1995.
14. S. Migórski. Control problems for systems described by nonlinear second order evolution inclusions. Nonlinear Analysis, 30:419-428. 1997.
15. S. Migórski and A. Ochal, Hemivariational inequality for viscoelastic contact problem with slip dependent friction, Nonlinear Analysis, 61:135-161, 2005.
16. S. Migórski and A. Ochal, Existence of solutions for second order evolution inclusions and their applications to mechanical contact problems, Optimization. 55:101-120, 2006.
17. S. Migórski and A. Ochal, Vanishing viscosity for hemivariational inequality modeling dynamic problems in elasticity, Nonlinear Analysis, 2006, in press.
18. Z. Naniewicz and P.D. Panagiotopoulos, Mathematical Theory of Hemivariational Inequalities and Applications, Marcel Dekker, Inc., New York, Basel, Hong Kong, 1995.
19. A. Ochal, Existence results for evolution hemivariational inequalities of second order, Nonlinear Analysis, 60:1369-1391, 2005.
20. P.D. Panagiotopoulos, Hemivariational Inequalities, Applications in Mechanics and Engineering, Springer-Verlag, Berlin, 1993.
21. N.S. Papageorgiou and N. Yannakakis, Second order nonlinear evolution inclusions I: existence and relaxation results, Acta Mat. Sinica, English Series, 21:977-996, 2005.
22. P. Sattayatham, Strongly nonlinear impulsive evolution equations and optimal control, Nonlinear Analysis, 57:1005-1020, 2004.
23. C. Yong-Kui and L. Wang-Tong, Existence results for second order impulsive functional differential inclusions, J. Math. Anal. Appl., 301:477-490, 2005.