Browse > Article
http://dx.doi.org/10.4134/BKMS.2011.48.1.001

APPROXIMATE CONTROLLABILITY FOR DIFFERENTIAL EQUATIONS WITH QUASI-AUTONOMOUS OPERATORS  

Jeong, Jin-Mun (DIVISION OF MATHEMATICAL SCIENCES PUKYONG NATIONAL UNIVERSITY)
Ju, Eun-Young (DIVISION OF MATHEMATICAL SCIENCES PUKYONG NATIONAL UNIVERSITY)
Kang, Yong-Han (DEPARTMENT OF MATHEMATICS UNIVERSITY OF ULSAN)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 1-8 More about this Journal
Abstract
The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.
Keywords
approximate controllability; regularity; reachable set; compact embedding; degree theory;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
연도 인용수 순위
  • Reference
1 H. X. Zhou, Approximate controllability for a class of semilinear abstract equations, SIAM J. Control Optim. 21 (1983), no. 4, 551-565.   DOI   ScienceOn
2 N. U. Ahmed and K. L. Teo, Optimal control of systems governed by a class of nonlinear evolution equations in a reflexive Banach space, J. Optim. Theory Appl. 25 (1978), no. 1, 57-81.   DOI
3 N. U. Ahmed and X. Xiang, Existence of solutions for a class of nonlinear evolution equations with nonmonotone perturbations, Nonlinear Anal. 22 (1994), no. 1, 81-89.   DOI   ScienceOn
4 S. Aizicovici and N. S. Papageorgiou, Infinite-dimensional parametric optimal control problems, Japan J. Indust. Appl. Math. 10 (1993), no. 2, 307-332.   DOI
5 J. P. Aubin, Un theoreme de compasite, C. R. Acad. Sci. 256 (1963), 5042-5044.
6 V. Barbu, Nonlinear Semigroups and Differential Equations in Banach space, Noordhoff Leiden, Netherland, 1976.
7 H. Brezis, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North Holland, 1973.
8 N. Hirano, Nonlinear evolution equations with nonmonotonic perturbations, Nonlinear Anal. 13 (1989), no. 6, 599-609.   DOI   ScienceOn
9 J. M. Jeong and H. H. Roh, Approximate controllability for semilinear retarded systems, J. Math. Anal. Appl. 321 (2006), no. 2, 961-975.   DOI   ScienceOn
10 K. Naito, Controllability of semilinear control systems dominated by the linear part, SIAM J. Control Optim. 25 (1987), no. 3, 715-722.   DOI   ScienceOn
11 H. Tanabe, Equations of Evolution, Pitman-London, 1979.