Controllability of impulsive functional differential systems with infinite delay in Banach spaces

Chaos, Solitons and Fractals

Volumn 33, Issue 5, 2007, Pages 1601-1609

  Chang, Yong Kui ^a  

^a LANZHOU JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; FRACTALS; FUNCTION EVALUATION; MATHEMATICAL OPERATORS; SOLITONS;

FUNCTIONAL DIFFERENTIAL SYSTEMS; SCHAUDER'S FIXED POINT THEOREM;

BANACH SPACES;

EID: 33947161951     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.006     Document Type: Article

References (14)

1. Balachandran K., and Dauer J.P. Controllability of nonlinear systems in Banach spaces: a survey. J Optim Theory Appl 115 (2002) 7-28
2. Balachandran K., and Anandhi E.R. Controllability of neutral functional integrodifferential infinite delay systems in Banach spaces. Taiwanese J. Math. 8 (2004) 689-702
3. Benchohra M., Go ́rniewicz L., Ntouyas S.K., and Ouahab A. Controllability results for impulsive functional differential inclusions. Rep Math Phys 54 (2004) 211-228
4. Dugundij J., and Grans A. Fixed point theory. Mongrafie mat (1982), PWN, Warsaw
5. Fu X.L. Controllability of abstract neutral functional differential systems with unbounded delay. Appl Math Comput 151 (2004) 299-314
6. Hernandez E., and Henriquez H.R. Existence results for partial neutral functional differential equations with unbounded delay. J Math Anal Appl 221 (1998) 452-475
7. Jin Z., Ma Z., and Han M.A. The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive. Chaos, Solitons & Fractals 22 (2004) 181-188
8. Lenci S., and Rega G. Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation. Chaos, Solitons & Fractals 11 (2000) 2453-2472
9. Li M.L., Wang M.S., and Zhang F.Q. Controllability of impulsive functional differential systems in Banach spaces. Chaos, Solitons & Fractals 29 (2006) 175-181
10. Liu X., and Chen L. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on predator. Chaos, Solitons & Fractals 16 (2003) 311-320
11. Pazy A. Semigroups of linear operators and applications to partial equations (1983), Springer-Verlag, New York
12. Quinn M.D., and Carmichael N. An approach to nonlinear control problem using fixed point methods, degree theory and pseudo-inverses. Numer. Funct. Anal. Optim. 23 (1991) 109-154
13. Wu J.H. Theory and applications of partial functional differential equations (1996), Springer-Verlag, New York
14. Yan B.Q. Boundary value problems on the half-line with impulses and infinite delay. J Math Anal Appl 259 (2001) 94-114