Extension of linear operators with applications
Vol 14 No 2 (2022), Статьи
Vol 14 No 2 (2022)

Extension of linear operators with applications

Статьи
https://doi.org/10.36120/2587-3644.v14i2.24-37
Published September 20, 2023
Vasile Neagu
Diana Bîclea

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Keywords

singular integral equation
compact operator
factorization

How to Cite

Neagu, V., & Bîclea, D. (2023). Extension of linear operators with applications. Acta Et Commentationes Exact and Natural Sciences, 14(2), 24-37. https://doi.org/10.36120/2587-3644.v14i2.24-37
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Abstract

The article presents a method for solving characteristic singular integral equations perturbed with compact operators. The method consists in reducing the solution of these equations to the solution of the systems of singular (unperturbed) equations, which are solved by factoring the coefficients of the obtained systems. The method presented concerns some results of Gohberg and Krupnik and can be used in solving other classes of functional equations with composite operators that fit into the scheme described by Theorem 1.1

https://doi.org/10.36120/2587-3644.v14i2.24-37
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