A Class of Nonlinear Degenerate Integrodifferential Control Systems

In this paper, we study the approximate controllability and noncontrollability for a class of nonlinear degenerate integrodifferential control systems. Based on the property of finite propagation for the disturbances, we prove noncontrollability. We also establish sufficient conditions for approximate controllability of the system in L2(\Omega) . Moreover, we prove the global existence and uniqueness of generalized solutions.

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