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Abstract <p> We study a boundary value problem with generalized boundary conditions of the Sturmtype for a linear ordinary delay differential equation with the Dzhrbashyan–Nersesyan derivativeof arbitrary order. The solution of the problem is written out in terms of the Green function. Theexistence and uniqueness theorem for the solution of the problem is stated and proved.</p>

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Green’s Function of a Sturm Type Boundary Value Problem for a Fractional Delay Differential Equation

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • M. G. Mazhgikhova

摘要

Abstract

We study a boundary value problem with generalized boundary conditions of the Sturmtype for a linear ordinary delay differential equation with the Dzhrbashyan–Nersesyan derivativeof arbitrary order. The solution of the problem is written out in terms of the Green function. Theexistence and uniqueness theorem for the solution of the problem is stated and proved.