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

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.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2025-01-01
DOI
https://doi.org/10.1134/s0965542524701781
Citations
1
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
3.69
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article

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

Н. С. Габбасов
1 citations
Computational Mathematics and Mathematical Physics
advanced mathematical theories
3.69
article

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

Н. С. Габбасов
article en
1 citations

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.

Computational Mathematics and Mathematical PhysicsVol. 65(1)
Naberezhnye Chelny State Pedagogical Institute (RU)
Openalex Percentile: Top 12%
advanced mathematical theories
3.69
DOISourceOpenAlex
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Solvability Theory for Singular Integro-Differential Equations in the Class of Generalized Functions — Н. С. Габбасов · Computational Mathematics and Mathematical Physics (2025) | TGRS Research Map | TGRS