• Kyungpook Mathematical Journal
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• v.59 no.2
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• pp.241-258
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• 2019

In this paper, we deal with the null controllability of semilinear functional integrodifferential control systems under the Lipschitz continuity of nonlinear terms. Moreover, we establish the regularity and a variation of constant formula for solutions of the given control systems in Hilbert spaces.

• Bulletin of the Korean Mathematical Society
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• v.46 no.3
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• pp.463-475
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• 2009

This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2006.05a
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• pp.67-70
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• 2006

In this paper. we study the controllability for the semilinear fuzzy integrodifferential control system with nonlocal condition in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

• Journal of applied mathematics & informatics
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• v.7 no.3
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• pp.969-982
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• 2000

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.