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Found 19 Documents (Results 1–19)

Convergence of formal Dulac series satisfying an algebraic ordinary differential equation. (English. Russian original) Zbl 1435.34091

Sb. Math. 210, No. 9, 1207-1221 (2019); translation from Mat. Sb. 210, No. 9, 3-18 (2019).
MSC:  34M25 34M45
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Towards the convergence of generalized power series solutions of algebraic ODEs. (English) Zbl 1404.34102

Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 325-335 (2017).
MSC:  34M25 34A25
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Asymptotic expansions and forms of solutions to \(P_6\). (English) Zbl 1291.34154

Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 27-31 (2012).
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All expansions of solutions to the sixth Painlevé equation near its nonsingular point. (English. Russian original) Zbl 1181.34097

Dokl. Math. 79, No. 3, 397-402 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 5, 586-591 (2009).
MSC:  34M55
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Basic expansions of solutions to the sixth Painlevé equation in the generic case. (English. Russian original) Zbl 1185.34137

Differ. Equ. 45, No. 1, 18-32 (2009); translation from Differ. Uravn. 45, No. 1, 19-33 (2009).
MSC:  34M55
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Asymptotic forms of solutions to the fourth Painlevé equation. (English. Russian original) Zbl 1221.34238

Dokl. Math. 78, No. 3, 868-873 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 4, 443-448 (2008).
MSC:  34M55 34A25 34M30
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Asymptotic forms of solutions to the third Painlevé equation. (English. Russian original) Zbl 1193.34175

Dokl. Math. 78, No. 2, 765-768 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 6, 729-732 (2008).
MSC:  34M55 34E05
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All asymptotic expansions of solutions to the sixth Painlevé equation. (English. Russian original) Zbl 1158.34347

Dokl. Math. 76, No. 3, 851-855 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 3, 298-302 (2007).
MSC:  34M55 34M25 34M30
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Expansions of solutions to the sixth Painlevé equation in the cases \(a= 0\) and \(b = 0\). (English. Russian original) Zbl 1160.34077

Dokl. Math. 74, No. 2, 660-665 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 3, 295-300 (2006).
MSC:  34M55 34A25
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