Impulsive perturbation of C₀-semigroups and stochastic evolution inclusions
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2002)
- Volume: 22, Issue: 1, page 125-149
- ISSN: 1509-9407
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] N.U. Ahmed, Impulsive Perturbation of C₀ semigroups and Evolution Inclusions, Nonlinear Functional Analysis and Applications, (to appear).
- [2] N.U. Ahmed, Vector measures for optimal control of impulsive systems in Banach spaces, Nonlinear Functional Analysis and Applications 5 (2) (2000), 95-106. Zbl0982.49022
- [3] N.U. Ahmed, Some remarks on the dynamics of impulsive systems in Banach spaces, Dynamics of Continuous, Discrete and Impulsive Systems 8 (2001), 261-274. Zbl0995.34050
- [4] N.U. Ahmed, State dependent vector measures as feedback controls for impulsive systems in Banach spaces, Dynamics of Continuous, Discrete and Impulsive Systems 8 (2001), 251-261. Zbl0990.34056
- [5] N.U. Ahmed, Existence of solutions of nonlinear stochastic differential inclusions on Banach spaces, Proc. World Congress of Nonlinear Analysis' 92, (ed: V. Lakshmikantham), (1992), 1699-1712.
- [6] N.U. Ahmed, Existence of optimal controls for a general class of impulsive systems on Banach spaces, SIAM Journal Contr. and Optim. (to appear).
- [7] N.U. Ahmed, Measure solutions impulsive evolutions differential inclusions and optimal control, Nonlinear Analysis 47 (2001), 13-23. Zbl1042.49505
- [8] G. Da Prato and J. Zabczyk, Stochastic equations in infinite dimensions, Cambridge University Press, Cambridge, England 1992. Zbl0761.60052
- [9] S. Hu and N.S. Papageorgiou, Handbook of multivalued analysis, Kluwer Academic Publishers, Dordrecht, Boston, London 1997. Zbl0887.47001
- [10] V. Lakshmikantham, D.D. Bainov and P.S. Simenov, Theory of impulsive differential equations, World Scientific, Singapore, London 1999.
- [11] J.H. Liu, Nonlinear impulsive evolution equations, dynamics of continuous, Discrete and Impulsive Systems 6 (1999), 77-85. Zbl0932.34067
- [12] J. Motyl, On the solution of stochastic differential inclusions, J. Math. Anal. and Appl. 192 (1995), 117-132. Zbl0826.60053
- [13] A.M. Samoilenk and N.A. Perestyuk, Impulsive differential equations, World Scientific, Singapore 1995.
- [14] T. Yang, Impulsive control theory, Springer-Verlag, Berlin 2001. Zbl0996.93003
- [15] E. Zeidler, Nonlinear functional analysis and its applications, Vol. 1, Fixed Point Theorems, Springer-Verlag New York, Berlin, Heidelberg, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest. Zbl0794.47033