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Differentical equations, dynamical systems and optimal control
On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points
M. V. Korovinaa, H. A. Matevossianbc a Lomonosov Moscow State University, Russia, 119992, Moscow, Leninskie Gory, 1
b Federal Research Center "`Computer Science and Control"', Russian Academy of Sciences, Russia, 119333, Moscow, Vavilov str., 40-42, R374
c Moscow Aviation Institute (National Research University), Russia, 125993, Moscow, Volokolamskoe Shosse, 4
Abstract:
We consider the problem of obtaining asymptotics for solutions of differential operators in a neighborhood of an irregular singular point; more precisely, the construction of uniform asymptotics for solutions of linear differential equations with second-order meromorphic coefficients in a neighborhood of a singular point. Examples are also given that confirm the relevance of the results obtained in the theory of equations of mathematical physics.
Keywords:
Second-order differential operator, meromorphic coefficients, singular points.
Received April 15, 2022, published March 9, 2023
Citation:
M. V. Korovina, H. A. Matevossian, “On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 251–261
Linking options:
https://www.mathnet.ru/eng/semr1584 https://www.mathnet.ru/eng/semr/v20/i1/p251
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Abstract page: | 67 | Full-text PDF : | 13 | References: | 10 |
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