Abstract
We prove a theorem on the local controllability of a system described by a nonlinear evolution equation in Banach space when the control is a multiplier on the right-hand side. We obtain sufficient conditions on the size of the neighborhood from which we can take the function from the overdetermination condition so that the inverse problem is uniquely solvable.
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Rozanova, A.V. Controllability for a Nonlinear Abstract Evolution Equation. Mathematical Notes 76, 511–524 (2004). https://doi.org/10.1023/B:MATN.0000043481.71476.9e
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DOI: https://doi.org/10.1023/B:MATN.0000043481.71476.9e