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* Scientific Article * Impact Factor 6.630 |
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Krakhmaleva, Yu.R., Yegemberdi, Sh.Q., & Duisebaeva, G.K.
An asymptotic representation of the general solution to a homogeneous differential system with variable coefficients containing a large parameter. |
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Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-04-156-11
DOI: https://dx.doi.org/10.15863/TAS.2026.04.156.11
Language: English
Citation: Krakhmaleva, Yu.R., Yegemberdi, Sh.Q., & Duisebaeva, G.K. (2026). An asymptotic representation of the general solution to a homogeneous differential system with variable coefficients containing a large parameter. ISJ Theoretical & Applied Science, 04 (156), 66-71. Soi: https://s-o-i.org/1.1/TAS-04-156-11 Doi: https://dx.doi.org/10.15863/TAS.2026.04.156.11 |
Pages: 66-71
Published: 30.04.2026
Abstract: In the context of solving problems in mechanics described by second-order differential equations and systems of differential equations with variable coefficients containing a large parameter, questions arise regarding the calculation of characteristics related to changes in the parameter. Consequently, questions arise regarding the influence of the parameter and its variation on the general solution of the system. The present article considers the determination of the general solution to a homogeneous 2nd-order differential equation system with variable coefficients, containing a large parameter and having multiple roots of the characteristic equation.
Key words: parameter, characteristic matrix, asymptotic solution, multiple roots, rank, elementary divisors of a matrix.
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