A majorant criterion for the total preservation of global solvability of controlled functional operator equation |
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Authors: | A V Chernov |
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Institution: | 1. Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia
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Abstract: | We prove the unique solvability of a nonlinear controlled functional operator equation in a Banach ideal space. We also establish sufficient conditions for the global solvability of all controls from a pointwise bounded set, provided that some majorant equation for the given family of these controls is globally solvable. We give examples of controlled boundary value problems reducible to the considered equation. |
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