On the solvability of the boundary-value problem for second-order equations in Hilbert space with an operator coefficient in the boundary condition |
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Authors: | S S Mirzoev M Yu Salimov |
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Institution: | 1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku State University, Baku, Azerbaijan 2. Baku State University, Baku, Azerbaijan
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Abstract: | We consider the boundary-value problem on a finite interval for a class of second-order operator-differential equations with a linear operator in one of its boundary conditions. We obtain sufficient conditions for the regular solvability of the boundary-value problem under consideration; these conditions are expressed only in terms of its operator coefficients. |
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