Controllability of evolution inclusions with nonlocal conditions

Applied Mathematics and Computation

Volumn 141, Issue 2-3, 2003, Pages 375-384

  Li, Guocheng ^a   Xue, Xiaoping ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Controllability; Evolution inclusions; Fixed point; Mild solutions; Nonlocal conditions

Indexed keywords

CONTROLLABILITY; DIFFERENTIAL EQUATIONS; FUNCTIONS; GRAPH THEORY; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

SEMILINEAR SYSTEMS;

LINEAR SYSTEMS;

EID: 0037420945     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00262-X     Document Type: Article

References (14)

1. Balachandran K., Balasubramaniam P., Dauer J.P. Controllability of nonlinear integrodifferential systems in Banach space. J. Opt. Theory Appl. 84:1995;83-91.
2. Balachandran K., Chandrasekaran M. Existence of solutions of a delay-differential equation with nonlocal condition. Ind. J. Pure Appl. Math. 27:1996;443-449.
3. Balachandran K., Ilamaran S. Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal condition. Ind. J. Pure Appl. Math. 25:1994;411-418.
4. Benchohra M., Ntouyas S.K. Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions. J. Opt. Theory Appl. 107:2000;559-571.
5. Bressan A., Colombo G. Extensions and selections of maps with decomposable values. Studia Math. 90:1988;69-85.
6. Byszewski L. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem. J. Math. Anal. Appl. 162:1991;494-505.
7. Han H.K., Park J.Y. Boundary controllability of differential equations with nonlocal condition. J. Math. Anal. Appl. 230:1999;241-250.
8. Hiai F., Umegaki H. Integrals, conditional expectations and martingals of multivalued functions. J. Multivariate Anal. 7:1977;149-182.
9. Klein E., Thompson A. Theory of Correspondences. 1984;Wiley, New York.
10. Ntouyas S.K., Tsamatos P.C. Global existence for semilinear evolution equations with nonlocal conditions. J. Math. Anal. Appl. 210:1997;679-687.
11. Ntouyas S.K., Tsamatos P.C. Global existence for second-order semilinear ordinary and delay integrodifferential equations with nonlocal conditions. Appl. Anal. 67:1997;245-257.
12. Ntouyas S.K. Global existence results for certain second-order delay integrodifferential equations with nonlocal conditions. Dynam. Syst. Appl. 7:1998;415-426.
13. Papageorgiou N.S. Convergence theorems for Banach space valued integrable multifunction. Int. J. Math. Sci. 10:1987;433-442.
14. Papageorgiou N.S. On the theory of Banach space valued multifunction Part 1. Integration and conditional expectation. J. Multivariate Anal. 17:1985;185-206.