Two Point Problem for the Abstract Differential Equation of the Second Order

The work is about the study of the boundary value problem for the second-order differential operator equation. The problem is investigated for conditional correctness. Theorems on uniqueness and conditional stability are proved. An approximate solution of the problem by the quasi-inversion method is constructed, an estimate of the norm between the exact and approximate solutions is obtained, and a formula for the regularization parameter is found.

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