Solution bundle for a class of impulsive differential inclusions on Banach spaces

Journal of Mathematical Analysis and Applications

Volumn 327, Issue 1, 2007, Pages 220-232

  Yu, Xiulan ^a   Xiang, Xiaoling ^a   Wei, Wei ^a  

^a GUIZHOU UNIVERSITY   (China)

Author keywords

Compactness; Differential inclusions; Impulsive systems; Nonlinear semigroups; Solutions bundle; Valued map

Indexed keywords

EID: 33750806009     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.075     Document Type: Article

References (15)

1. Ahmed N.U. Semigroup Theory with Applications to Systems and Control. Pitman Res. Notes Math. Ser. (1991), Longman Scientific and Technical/John Wiley, UK/New York, USA
2. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations (1983), Springer-Verlag, New York
3. Li X., and Yong J. Optimal Control Theory for Infinite Dimensional Systems (1995), Birkhäuser, Boston
4. Lakshmikantham V., Bainov D.D., and Simenov P.S. Theory of Impulsive Differential Equations (1999), World Scientific, Singapore
5. Pandit S.G., and Deo S.G. Differential Systems Involving Impulsive. Lecture Notes in Math. vol. 954 (1982), Springer-Verlag, Berlin
6. Ahmed N.U. Some remarks on the dynamics of impulsive systems in Banach spaces. Dyn. Contin. Discrete Impuls. Syst. 8 (2001) 261-274
7. Ahmed N.U. State dependent vector measures as feedback controls for impulsive systems in Banach spaces. Dyn. Contin. Discrete Impuls. Syst. 8 (2001) 251-261
8. Liu J.H. Nonlinear impulsive evolution equations. Dyn. Contin. Discrete Impuls. Syst. 6 1 (1999) 77-85
9. Guo D., and Liu X.I. First order integro-differential equations on unbounded domain in a Banach space. Dyn. Contin. Discrete Impuls. Syst. 2 3 (1996) 77-88
10. Rogovchenko Y.V. Impulsive evolution systems: Main results and new trends. Dyn. Contin. Discrete Impuls. Syst. 3 1 (1997) 77-88
11. 0-semigroups and a class of semilinear impulsive evolution equation. J. Guizhou University 20 4 (2003) 350-357
12. 0-semigroups and evolution inclusions. Nonlinear Funct. Anal. Appl. 9 1 (2004) 127-147
13. Ahmed N.U. Vector measures for optimal control of impulsive systems in Banach spaces. Nonlinear Funct. Anal. Appl. 5 2 (2000) 95-106
14. Ahmed N.U. Measure solutions impulsive evolution differential inclusion and optimal control. Nonlinear Anal. 47 (2001) 13-23
15. Ahmed N.U. Systems governed by impulsive differential inclusions on Hilbert spaces. Nonlinear Anal. 45 (2001) 693-706