PUBLISHED PAPERS #04.13

Gulsum Aghayeva, Ilkin Feyzullayev.
Solution of the Boundary Value Problem for Operator-Differential Equations in Hilbert Spaces
Abstract. In the paper there are Fredholm solvability of a boundary value problem in a finite domain of a class of second-order differential equation of elliptic type in a seperable Hilbert space. Sufficient conditions that provide regular and fredholm solvability of the given problem, are found. These conditions are expressed only by the coefficients.
Keywords: Hilbert space, linear operator, self adjoint operator, regular solvability,izomorfism, Fredholm solvability
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DOI: https://doi.org/10.30546/MaCoSEP2025.1023