Controllability of abstract neutral functional differential systems with infinite delay

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 9, Issue 1, 2002, Pages 59-70

  Wang, Lianglong ^a   Wang, Zhicheng ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Controllability; Infinite delay; Neutral functional differential systems; Phase spaces; Schaefer fixed point theorem

Indexed keywords

EID: 0347935937     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. K. Balachandran, P. Balasubramaniam and J. P. Dauer, Controllability of nonlinear integrodifferential systems in Banach spaces, J. Optim. Theory Appl. 84(1995), 83-91.
2. K. Balachandran, P. Balasubramaniam and J. P. Dauer, Controllability of quasi-linear delay systems in Banach spaces, Optimal control Appl. Methods, 16(1995), 283-290.
3. K. Balachandran, P. Balasubramaniam and J. P. Dauer, Local null controllability of nonlinear functional differential systems in Banach spaces, J. Optim. Theory Appl., 88(1996), 61-75.
4. K. Balachandran and J. P. Dauer, Controllability of Sobolev-type integrodifferential systems in Banach spaces, J. Math. Anal. Appl. , 217(1998), 335-348.
5. K. Balachandran, R. Sakthivel and J. P. Dauer, Controllability of neutral functional integrodifferential systems in Banach spaces, Int. J. Computer Math. Appl. , 39(2000), 117-126.
6. E. N. Chukwu and S. M. Lenhart, Controllability questions for nonlinear systems in abstract spaces, J. Optim. Theory Appl. , 68(1991), 437-462.
7. H. R. Henriquez, Periodic solutions of quasi-linear partial functional differential equations with unbounded delay, Funk. Ekvac., 37(1994), 329-344.
8. E. Hernandez and H. R. Henriquez, Existence results for partial neutral functional differential equations with unbounded delay, J. Math. Anal. Appl., 221(1998), 452-475.
9. J. K. Hale and J. Kato, Phase spaces for retarded equation with infinite delay, Funk. Ekvac., 21(1978), 11-41.
10. Y. Hino, S. Murakami and T. Naito, Functional Differential Equations with Infinite Delay, Lecture Notes in Math., Vol. 1473, Springer-verlag, 1991
11. Y. C. Kwun, J. Y. Part and J. W. Ryu, Approximate controllability and controllability for delay Volterra systems, Bull. Korean Math. Soc., 28(1991), 131-145.
12. K. Naito, On controllability for a nonlinear Volterra equations, Nonlinear Anal., 18(1992), 99-108.
13. S. K. Ntouyas and P. Ch. Tsamatos, Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl., 210(1997), 678-687.
14. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
15. H. Schaefer, Über die Mathode der a priori Schranken, Mathematische Annalem , 129(1955), 415-416.
16. J. Wu, Theory and Applications of Partial Functional Differential Equations, Springer-Verlag, New York, 1996.