2020
DOI: 10.13108/2020-12-1-56
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On preservation of global solvability of controlled second kind operator equation

Abstract: For a controlled evolution second kind operator equation in a Banach space considered on a finite time segment, we obtain sufficient conditions for the preservation of global solvability under small (with respect to the right-hand side increment with a fixed state) control variations. In addition, we establish an estimate for the global solution increment under a control variation and conditions for uniqueness of the solution corresponding to an arbitrary fixed control. Most essential differences from former r… Show more

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