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This article is cited in 1 scientific paper (total in 3 paper)
Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe.
II. Large values of the parameter $t$
A. M. Il'ina, B. I. Suleimanovb a Chelyabinsk State University
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
An asymptotic formula as $t\to\infty$ for the solution of the ordinary differential Abel's equation of the first kind $u'_x+u^3-tu-x=0$, which is uniform in the $x$-variable, is constructed and substantiated.
Bibliography: 13 titles.
Received: 18.12.2006
Citation:
A. M. Il'in, B. I. Suleimanov, “Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe.
II. Large values of the parameter $t$”, Mat. Sb., 198:9 (2007), 81–106; Sb. Math., 198:9 (2007), 1299–1324
Linking options:
https://www.mathnet.ru/eng/sm3822https://doi.org/10.1070/SM2007v198n09ABEH003884 https://www.mathnet.ru/eng/sm/v198/i9/p81
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Abstract page: | 466 | Russian version PDF: | 210 | English version PDF: | 12 | References: | 73 | First page: | 8 |
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