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Controllability of Volterra-Fredholm type systems in Banach spaces. (English) Zbl 1160.93005

Summary: We show the results in D. N. Chalishajar [J. Franklin Inst. 344, No. 1, 12–21 (2007; Zbl 1119.93016)] and Y.-K. Chang and 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.

MSC:

93B05 Controllability
93C23 Control/observation systems governed by functional-differential equations
93C25 Control/observation systems in abstract spaces
45J05 Integro-ordinary differential equations

Citations:

Zbl 1119.93016
Full Text: DOI

References:

[1] Chalishajar, D. N., Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space, J. Franklin Inst., 344, 1, 12-21 (2007) · Zbl 1119.93016
[2] Chang, Y.-K.; Chalishajar, D. N., Controllability of mixed Volterra-Fredholm type integro-differential systems in Banach space, J. Franklin Inst., 345, 5, 499-507 (2008) · Zbl 1167.93007
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[7] Chang, Y.-K.; Li, W.-T.; Nieto, J. J., Controllability of evolution differential inclusions in Banach spaces, Nonlinear Anal., 67, 2, 623-632 (2007) · Zbl 1128.93005
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