Abstract
In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the su-cient con- ditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The exis- tence, uniqueness and a variation of solutions of the system are also given.
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