Generalized solutions for linear operators with weakened a priori inequalities |
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Authors: | A V Anikushyn D A Nomirovs’kyi |
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Institution: | 1.Shevchenko Kyiv National University,Kyiv,Ukraine |
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Abstract: | We propose an approach to the investigation of generalized solutions of linear operators that satisfy weakened a priori inequalities.
This approach generalizes several well-known definitions of generalized solutions of operator equations. We prove existence
and uniqueness theorems for a generalized solution. |
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Keywords: | |
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