Long-term analysis of solutions with initial jumps in singularly perturbed equations
Аrtykbayeva Z.N. Mirzakulova A.Y.
20 December 2024al-Farabi Kazakh State National University
International Journal of Mathematics and Physics
2024#15Issue 2110 - 118 pp.
This paper addresses a dilemma settled by contour stipulations involving a minor fluctuation related to a third-order linear integro-differential equation (IDE) that features a small parameter modifying the two top slopes. The study specifically examines cases in which the intercepts of the corresponding at-tribute equation are detrimental. The objective of this report is to provide approaching assessments for the outcome of a problem settled by contour stipulations involving a minor fluctuation with preliminary dis-continuities, as well as to analyze the approaching convergence of the outcome of a preliminary value issue subjected to prominent fluctuation toward the outcome of a steady preliminary value issue. This manuscript constructs the primary structure of outcomes and introductory operations for a distinct modified consistent differential statement, while also deriving their eventual assessments. The approaching response of the outcome to the distinctively modified a dilemma settled by contour stipulations at the points of preliminary shifts is demonstrated. A degenerate dilemma settled by contour stipulations is constructed. It is demonstrated that the outcome of the preliminary outstandingly ruffled problem settled by contour stipulations approaches the outcome of the corresponding degenerate dilemma.
a third-order linear IDE , BVP , contour , degenerate
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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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