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Abstract <p>A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, a special generalized version of the collocation method is proposed and substantiated.</p>

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Solvability Theory for Singular Integro-Differential Equations in the Class of Generalized Functions

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • N. S. Gabbasov

摘要

Abstract

A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, a special generalized version of the collocation method is proposed and substantiated.