Ramis, Jean-Pierre Epilogue: Stokes phenomena. Dynamics, classification problems and avatars. (English) Zbl 07913005 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 383-482 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34-02 34M40 34M35 34M60 × Cite Format Result Cite Review PDF Full Text: DOI
Carrillo, Sergio A.; Lastra, Alberto Formal Gevrey solutions: in analytic germs – for higher order holomorphic PDEs. (English) Zbl 1516.35199 Math. Ann. 386, No. 1-2, 85-112 (2023). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35G50 35C10 34M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cano, J.; Fortuny Ayuso, P. Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon. (English) Zbl 1503.39002 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 123, 31 p. (2022). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 39A13 12H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lastra, Alberto; Tahara, Hidetoshi Maillet type theorem for nonlinear totally characteristic partial differential equations. (English) Zbl 1445.35113 Math. Ann. 377, No. 3-4, 1603-1641 (2020). MSC: 35C10 35G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruno, A. D. Expansion of solutions to an ordinary differential equation into transseries. (English. Russian original) Zbl 1420.34034 Dokl. Math. 99, No. 1, 36-39 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 3, 260-264 (2019). MSC: 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiménez-Garrido, Javier; Kamimoto, Shingo; Lastra, Alberto; Sanz, Javier Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders. (English) Zbl 1437.46031 J. Math. Anal. Appl. 472, No. 1, 627-686 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 44A10 40A30 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes. (English) Zbl 1403.30012 J. Math. Anal. Appl. 469, No. 1, 136-168 (2019). MSC: 30E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, Renat; Goryuchkina, Irina The Maillet-Malgrange type theorem for generalized power series. (English) Zbl 1395.34088 Manuscr. Math. 156, No. 1-2, 171-185 (2018). Reviewer: Shun Shimomura (Yokohama) MSC: 34M25 34M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sanz, Javier Asymptotic analysis and summability of formal power series. (English) Zbl 1406.30002 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, 199-262 (2017). MSC: 30B10 40D05 34M25 35C10 35C20 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiménez-Garrido, Javier; Sanz, Javier Strongly regular sequences and proximate orders. (English) Zbl 1358.30001 J. Math. Anal. Appl. 438, No. 2, 920-945 (2016). Reviewer: Praveen Agarwal (Jaipur) MSC: 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, Renat; Goryuchkina, Irina An analytic proof of the Malgrange theorem on the convergence of formal solutions of an ODE. (English) Zbl 1335.34142 J. Dyn. Control Syst. 22, No. 1, 91-100 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
André, Yves Arithmetic Gevrey series and transcendence. A survey. (English) Zbl 1136.11315 J. Théor. Nombres Bordx. 15, No. 1, 1-10 (2003). MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Lemaire, François An orderly linear PDE system with analytic initial conditions with a non-analytic solution. (English) Zbl 1070.35003 J. Symb. Comput. 35, No. 5, 487-498 (2003). MSC: 35A10 35B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Sibuya, Yasutaka Formal power series solutions in a parameter. (English) Zbl 1029.34079 J. Differ. Equations 190, No. 2, 559-578 (2003). Reviewer: J.Saurer (Regensburg) MSC: 34M25 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
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Bergeron, François; Reutenauer, Christophe Combinatorial resolution of systems of differential equations. III: A special class of differentially algebraic series. (English) Zbl 0757.34009 Eur. J. Comb. 11, No. 6, 501-512 (1990). MSC: 34A25 34A34 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, William A. jun.; Sibuya, Yasutaka The reciprocals of solutions of linear ordinary differential equations. (English) Zbl 0581.12013 Adv. Math. 58, 119-132 (1985). Reviewer: Mykola Grygorenko (N. V. Grigorenko) (Kyïv) MSC: 12H05 34G10 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
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Rubel, Lee A. Some research problems about algebraic differential equations. (English) Zbl 0532.34009 Trans. Am. Math. Soc. 280, 43-52 (1983). Reviewer: V.Lakshmikantham MSC: 34M99 34A30 × Cite Format Result Cite Review PDF Full Text: DOI