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Controllability of Volterra-Fredholm type systems in Banach spaces. (English) Zbl 1160.93005
Summary: We show the results in {\it D. N. Chalishajar} [J. Franklin Inst. 344, No. 1, 12--21 (2007; Zbl 1119.93016)] and {\it Y.-K. Chang} and {\it D. N. Chalishajar} [Controllability of mixed Volterra-Fredholm type integro-differential systems in Banach spaces, J. Franklin Inst. 345, 499--507 (2008), doi:10.1016/j.jfranklin.2008.02.002] are only valid for ordinary differential control systems. As a result the examples provided cannot be recovered as applications of the abstract results.

93C23Systems governed by functional-differential equations
93C25Control systems in abstract spaces
45J05Integro-ordinary differential equations
Full Text: DOI
[1] Chalishajar, D. N.: Controllability of mixed Volterra -- Fredholm-type integro-differential systems in Banach space, J. franklin inst. 344, No. 1, 12-21 (2007) · Zbl 1119.93016 · doi:10.1016/j.jfranklin.2006.04.002
[2] Chang, Y. -K.; Chalishajar, D. N.: Controllability of mixed Volterra -- Fredholm type integro-differential systems in Banach space, J. franklin inst. 345, No. 5, 499-507 (2008) · Zbl 1167.93007 · doi:10.1016/j.jfranklin.2008.02.002
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[6] Triggiani, R.: Addendum: ”A note on the lack of exact controllability for mild solutions in Banach spaces” [ SIAM J. Control optim. $15(3) (1977)$ 407 -- 411; MR 55 8942], SIAM J. Control optim. 18, No. 1, 98-99 (1980) · Zbl 0354.93014
[7] Chang, Y. -K.; Li, W. -T.; Nieto, J. J.: Controllability of evolution differential inclusions in Banach spaces, Nonlinear anal. 67, No. 2, 623-632 (2007) · Zbl 1128.93005 · doi:10.1016/j.na.2006.06.018
[8] Liu, B.: Controllability of nonlinear neutral evolution integrodifferential systems with infinite delay, J. optim. Theory appl. 122, No. 1, 87-109 (2004) · Zbl 1130.93313 · doi:10.1023/B:JOTA.0000041732.08947.0c
[9] Balasubramaniam, P.; Ntouyas, S. K.: Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space, J. math. Anal. appl. 324, No. 1, 161-176 (2006) · Zbl 1118.93007 · doi:10.1016/j.jmaa.2005.12.005