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On the solvability of the boundary-value problem for second-order equations in Hilbert space with an operator coefficient in the boundary condition
Authors:S S Mirzoev  M Yu Salimov
Institution:1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku State University, Baku, Azerbaijan
2. Baku State University, Baku, Azerbaijan
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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