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JOURNALS // Adyghe International Scientific Journal // Archive

Reports of AIAS, 2021 Volume 21, Issue 4, Pages 37–44 (Mi aman29)

This article is cited in 1 paper

MATHEMATICS

Dirichlet problem for a second-order ordinary differential equation with a distributed differentiation operator

B. I. Efendiev

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For an ordinary second-order differential equation with an operator of continuously distributed differentiation with variable coefficients, a solution to the Dirichlet problem is constructed using the Green's function method.

Keywords: fractional Riemann - Liouville integral, fractional Riemann - Liouville derivative, operator of continuously distributed differentiation, Dirichlet problem, Green's function.

UDC: \udk{ÓÄÊ 517.925.4}

DOI: 10.47928/1726-9946-2021-21-4-37-44



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© Steklov Math. Inst. of RAS, 2025