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Controllability for semilinear functional integrodifferential equations. (English) Zbl 1170.35332
Summary: 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.
MSC:
35B37PDE in connection with control problems (MSC2000)
35F25Initial value problems for first order nonlinear PDE
93B05Controllability
35K90Abstract parabolic equations
35D10Regularity of generalized solutions of PDE (MSC2000)