Asymptotic estimates of the solution for a singularly perturbed Cauchy problem
DOI:
https://doi.org/10.31489/2025m2/44-51Keywords:
singularly perturbed integro-differential equation, asymptotic estimates, Cauchy functions, fundamental solutions, small parameterAbstract
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.
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Published
2025-06-30
How to Cite
Bukanay, N., Mirzakulova, A., & Assanova, A. (2025). Asymptotic estimates of the solution for a singularly perturbed Cauchy problem. Bulletin of the Karaganda University. Mathematics Series, 118(2), 44–51. https://doi.org/10.31489/2025m2/44-51
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MATHEMATICS