DOAJ Open Access 2025

Approximation of a singular boundary value problem for a linear differential equation

R. Uteshova Y. Kokotova

Abstrak

This paper addresses the approximation of a bounded (on the entire real axis) solution of a linear ordinary differential equation, where the matrix approaches zero as t →∓∞ and the right-hand side is bounded with a weight. We construct regular two-point boundary value problems to approximate the original problem, assuming the matrix and the right-hand side, both weighted, are constant in the limit. An approximation estimate is provided. The relationship between the well-posedness of the singular boundary value problem and the well-posedness of an approximating regular problem is established.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

R. Uteshova

Y. Kokotova

Format Sitasi

APA MLA BibTeX

Uteshova, R., Kokotova, Y. (2025). Approximation of a singular boundary value problem for a linear differential equation. https://doi.org/10.31489/2025m1/187-198

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m1/187-198
Akses: Open Access ✓