Approximate controllability for semilinear retarded functional differential equations

Journal of Dynamical and Control Systems

Volumn 5, Issue 3, 1999, Pages 329-346

  Jeong, Jin Mun ^a   Kwun, Young Chel ^b   Park, Jong Yeoul ^c  

^a Pukyong National University   (South Korea)

^b Dong A University   (South Korea)

^c Pusan National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROLLABILITY; LINEAR CONTROL SYSTEMS;

SEMILINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0033155618     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021714500075     Document Type: Article

References (15)

1. J. P. Aubin, Un thèoréme de compacité. C. R. Acad. Sci. 256 (1963), 5042-5044.
2. 2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives. J. Math. Anal. Appl. 102 (1984), 38-57.
3. H. O. Fattorini, Boundary control systems. SIAM J. Control Optim. 6 (1968), 346-389.
4. 1-valued controller. Funckcial. Ekvac. 36 (1993), 71-93.
5. Y. C. Kwun, J. Y. Park, and J. W. Ryu, Approximate controllability and controllability for delay Volterra system. Bull. Korean Math. Soc. 28 (1991), 131-145.
6. N. G. Lloid, Degree Theory. Cambridge Univ. Press, 1978.
7. K. Naito, Controllability of semilinear control systems dominated by the linear part. SIAM J. Control Optim. 25 (1987), 715-722.
8. _, Approximate controllability for trajectories of semilinear control systems. J. Optim. Theory Appl. 60 (1989), 57-65.
9. S. Nakagiri, Structural properties of functional differential equations in Danach spaces. Osaka J. Math. 25 (1988), 353-398.
10. T. I. Seidman, Invariance of the reachable set under nonlinear perturbations. SIAM J. Control Optim. 25 (1987), 1173-1191.
11. H. Tanabe, Equations of Evolution. Pitman-London, 1979.
12. _, Fundamental solutions of differential equation with time delay in Danach space. Funkcial. Ekvac. 35 (1992), 149-177.
13. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators. North-Holland, 1978.
14. J. Yong and L. Pan, Quasi-linear parabolic partial differential equations with delays in the highest order partial derivatives. J. Austral. Math. Soc. 54 (1993), 174-203.
15. H. X. Zhou, Approximate controllability for a class of semilinear abstract equations. SIAM J. Control Optim. 21 (1983).