DOAJ Open Access 2025

Asymptotic estimates of the solution for a singularly perturbed Cauchy problem

N.U. Bukanay A.E. Mirzakulova A.T. Assanova

Abstrak

The article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs. This paper presents a fundamental set of solutions and initial functions for a singularly perturbed homogeneous differential equation. The solution to the singularly perturbed initial integrodifferential problem employs analytical formulas. A theorem concerning asymptotic estimates of the solution is established.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

N.U. Bukanay

A.E. Mirzakulova

A.T. Assanova

Format Sitasi

APA MLA BibTeX

Bukanay, N., Mirzakulova, A., Assanova, A. (2025). Asymptotic estimates of the solution for a singularly perturbed Cauchy problem. https://doi.org/10.31489/2025m2/44-51

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m2/44-51
Akses: Open Access ✓