Asymptotic estimates of the solution for a singularly perturbed Cauchy problem
Bukanay N.U. Mirzakulova A.E. Assanova A.T.
2025E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2025#118Issue 244 - 51 pp.
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 integro-differential problem employs analytical formulas. A theorem concerning asymptotic estimates of the solution is established.
asymptotic estimates , Cauchy functions , fundamental solutions , singularly perturbed integro-differential equation , small parameter
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Department of Mathematics, al-Farabi Kazakh National University, 71 al-Farabi Avenue, Almaty, 050038, Kazakhstan
Department of Mathematics, al-Farabi Kazakh National University, 71 al-Farabi Avenue, Almaty, 050038, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Senior Researcher, Almaty, Kazakhstan
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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