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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 077, 28 pp.
(Mi ipmp532)
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All asymptotic expansions of solutions to the equation P6 are obtained from base ones
A. D. Bruno, I. V. Goryuchkina
Abstract:
By means of two symmetries of the equation P6 from base expansions of solutions in the case $a\cdot b\ne0$ (Preprint No 62 of the Keldysh Institute of Applied Mathematics of RAS, 2007) we obtain all other expansions of solutions near singular points of equation $x=0$ and $x=\infty$ existed in this case. Asymptotic expansions of solutions to the equation P6 near its singular point $x=1$ computed by means its third symmetry from expansions of solutions near other its singular point $x=0$.
Citation:
A. D. Bruno, I. V. Goryuchkina, “All asymptotic expansions of solutions to the equation P6 are obtained from base ones”, Keldysh Institute preprints, 2007, 077, 28 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp532 https://www.mathnet.ru/eng/ipmp/y2007/p77
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Statistics & downloads: |
Abstract page: | 178 | Full-text PDF : | 54 |
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