Work

Study of systems of Hammerstein integral equations of the first kind

Year: 2025

Type: article

Abstract: The article addresses systems of Hammerstein integral equations of the first kind, in which the determinant of the non-diagonal matrix-kernel is identically equal to zero.The class of problems under consideration has fundamental differences from standard cases: the solution may not exist, be non-unique, or depend on high derivatives of the input data. In terms of matrix pencils, sufficient conditions for the local existence of a unique solution in the class of continuous functions are formulated. Illustrative examples are given. Difficulties arising in the construction of numerical methods for solving these problems are discussed.

Source: Dolomites Research Notes on Approximation

DOI: 10.25430/pupj-drna-2025-2-10

Authors: Mikhail Bulatov, Hui Lian, Liubov Solovarova

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6945154731

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