1 |
J. P. Dauer and N. I. Mahmudov, Approximate controllability of semilinear functional equations in Hilbert spaces, J. Math. Anal. Appl. 273 (2002), no. 2, 310-327.
DOI
|
2 |
J. Dugundji and A. Granas, Fixed Point Theory. I, Monografie Matematyczne, 61, Panstwowe Wydawnictwo Naukowe (PWN), Warsaw, 1982.
|
3 |
H. O. Fattorini, Second Order Linear Differential Equations in Banach Spaces, NorthHolland Mathematics Studies, 108, North-Holland Publishing Co., Amsterdam, 1985.
|
4 |
X. Fu, Approximate controllability for neutral impulsive differential inclusions with nonlocal conditions, J. Dyn. Control Syst. 17 (2011), no. 3, 359-386.
DOI
|
5 |
E. Hernandez M and H. R. Henriquez, Impulsive partial neutral differential equations, Appl. Math. Lett. 19 (2006), no. 3, 215-222.
DOI
|
6 |
V. Kavitha and M. Mallika Arjunan, Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in Banach spaces, Nonlinear Anal. Hybrid Syst. 4 (2010), no. 3, 441-450.
DOI
|
7 |
V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of impulsive differential equations, Series in Modern Applied Mathematics, 6, World Scientific Publishing Co., Inc., Teaneck, NJ, 1989.
|
8 |
M. Li and J. Ma, Approximate controllability of second order impulsive functional differential system with infinite delay in Banach spaces, J. Appl. Anal. Comput. 6 (2016), no. 2, 492-514.
|
9 |
N. I. Mahmudov and A. Denker, On controllability of linear stochastic systems, Internat. J. Control 73 (2000), no. 2, 144-151.
DOI
|
10 |
N. I. Mahmudov, Approximate controllability of evolution systems with nonlocal conditions, Nonlinear Anal. 68 (2008), no. 3, 536-546.
DOI
|
11 |
N. I. Mahmudov, V. Vijayakumar, and R. Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces, Mediterr. J. Math. 13 (2016), no. 5, 3433-3454.
DOI
|
12 |
M. Pierri, D. O'Regan, and A. Prokopczyk, On recent developments treating the exact controllability of abstract control problems, Electron. J. Differential Equations 2016, Paper No. 160, 9 pp.
|
13 |
R. Sakthivel, N. I. Mahmudov, and J. H. Kim, On controllability of second order nonlinear impulsive differential systems, Nonlinear Anal. 71 (2009), no. 1-2, 45-52.
DOI
|
14 |
R. Sakthivel, Y. Ren, and N. I. Mahmudov, On the approximate controllability of semilinear fractional differential systems, Computers & Math. Appl. 62 (2011), 1451-1459.
DOI
|
15 |
I. Stamova, Stability Analysis of Impulsive Functional Differential Equations, De Gruyter Expositions in Mathematics, 52, Walter de Gruyter GmbH & Co. KG, Berlin, 2009.
|
16 |
C. C. Travis and G. F. Webb, Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math. 3 (1977), no. 4, 555-567.
|
17 |
C. C. Travis and G. F. Webb, Cosine families and abstract nonlinear second order differential equations, Acta Math. Acad. Sci. Hungar. 32 (1978), no. 1-2, 75-96.
DOI
|
18 |
Z. Yan, Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators, J. Comput. Appl. Math. 235 (2011), no. 8, 2252-2262.
DOI
|
19 |
V. Vijayakumar, Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces, IMA Journal of Mathematical Control and Information (2016), 1-18. Available online.
|
20 |
V. Vijayakumar, Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces, International Journal of Control (2017), 1-11. Available online.
|
21 |
Z. Yan, Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay, Internat. J. Control 85 (2012), no. 8, 1051-1062.
DOI
|
22 |
M. M. Arjunan and V. Kavitha, Existence results for impulsive neutral functional differential equations with state-dependent delay, Electron. J. Qual. Theory Differ. Equ. 2009 (2009), no. 26, 13 pp.
|
23 |
G. Arthi and K. Balachandran, Controllability of damped second order nonlinear impulsive systems, Nonlinear Functional Anal. Appl. 16 (2011), 227-245.
|
24 |
G. Arthi and K. Balachandran, Controllability of second-order impulsive differential and integrodifferential evolution systems with nonlocal conditions, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 19 (2012), no. 6, 693-715.
|
25 |
G. Arthi and J. H. Park, On controllability of second-order impulsive neutral integrodifferential systems with infinite delay, IMA J. Math. Control Inform. 32 (2015), no. 3, 639-657.
DOI
|
26 |
P. Balasubramaniam, J. Y. Park, and P. Muthukumar, Approximate controllability of neutral stochastic functional differential systems with infinite delay, Stoch. Anal. Appl. 28 (2010), no. 2, 389-400.
DOI
|
27 |
Y.-K. Chang, A. Anguraj, and M. Mallika Arjunan, Controllability of impulsive neutral functional differential inclusions with infinite delay in Banach spaces, Chaos Solitons & Fractals 39 (2009), no. 4, 1864-1876.
DOI
|
28 |
M. Benchohra, J. Henderson, and S. Ntouyas, Impulsive differential equations and inclusions, Contemporary Mathematics and Its Applications, 2, Hindawi Publishing Corporation, New York, 2006.
|
29 |
D. N. Chalishajar, Controllability of second order impulsive neutral functional differential inclusions with infinite delay, J. Optim. Theory Appl. 154 (2012), no. 2, 672-684.
DOI
|
30 |
Y.-K. Chang, Controllability of impulsive functional differential systems with infinite delay in Banach spaces, Chaos Solitons & Fractals 33 (2007), 1601-1609.
DOI
|