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

Kudratillo FayazovTurin Polytechnic University, Tashkent, UzbekistanZamira Shamshaddinovna Abdullaeva
ABI

Abstract

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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