Seiler, Werner M.; Seiß, Matthias; Sturm, Thomas A logic based approach to finding real singularities of implicit ordinary differential equations. (English) Zbl 1500.34015 Math. Comput. Sci. 15, No. 2, 333-352 (2021). MSC: 34A09 34A26 34C05 12H05 13P10 68W30 PDFBibTeX XMLCite \textit{W. M. Seiler} et al., Math. Comput. Sci. 15, No. 2, 333--352 (2021; Zbl 1500.34015) Full Text: DOI arXiv
Lin, Chang-Shou Conformal geometry and the Painlevé VI equation. (English) Zbl 1410.34265 Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 42, 187-217 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M55 34M56 30B50 53A30 35J91 12H05 PDFBibTeX XMLCite \textit{C.-S. Lin}, Adv. Lect. Math. (ALM) 42, 187--217 (2018; Zbl 1410.34265)
Boulier, François; Lemaire, François Finding first integrals using normal forms modulo differential regular chains. (English) Zbl 1434.12003 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 101-118 (2015). MSC: 12H05 34-04 34C05 68W30 PDFBibTeX XMLCite \textit{F. Boulier} and \textit{F. Lemaire}, Lect. Notes Comput. Sci. 9301, 101--118 (2015; Zbl 1434.12003) Full Text: DOI HAL
Janovská, Drahoslava; Opfer, Gerhard Zeros and singular points for one-sided coquaternionic polynomials with an extension to other \(R^4\) algebras. (English) Zbl 1307.65060 ETNA, Electron. Trans. Numer. Anal. 41, 133-158 (2014). MSC: 65H04 16H05 11R52 12E15 30C15 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, ETNA, Electron. Trans. Numer. Anal. 41, 133--158 (2014; Zbl 1307.65060) Full Text: EMIS
Wu, Wenyuan; Reid, Greg Finding points on real solution components and applications to differential polynomial systems. (English) Zbl 1360.14145 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 339-346 (2013). MSC: 14Q15 12H05 PDFBibTeX XMLCite \textit{W. Wu} and \textit{G. Reid}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 339--346 (2013; Zbl 1360.14145) Full Text: DOI
Yoshihara, Hisao A relation between Galois automorphism and curve singularity. (English) Zbl 1229.14024 JP J. Algebra Number Theory Appl. 20, No. 2, 213-223 (2011). Reviewer: Gabriel D. Villa-Salvador (México City) MSC: 14H37 11R58 12F10 14H05 PDFBibTeX XMLCite \textit{H. Yoshihara}, JP J. Algebra Number Theory Appl. 20, No. 2, 213--223 (2011; Zbl 1229.14024) Full Text: Link
Piret, Kathy; Verschelde, Jan Sweeping algebraic curves for singular solutions. (English) Zbl 1189.65101 J. Comput. Appl. Math. 234, No. 4, 1228-1237 (2010). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{K. Piret} and \textit{J. Verschelde}, J. Comput. Appl. Math. 234, No. 4, 1228--1237 (2010; Zbl 1189.65101) Full Text: DOI arXiv
Bothmer, Hans-Christian Graf v.; Kröker, Jakob A survey of the Poincaré Center Problem in degree 3 using finite field heuristics. arXiv:1012.3402 Preprint, arXiv:1012.3402 [math.AG] (2010). MSC: 34C05 12E05 BibTeX Cite \textit{H.-C. G. v. Bothmer} and \textit{J. Kröker}, ``A survey of the Poincar\'e Center Problem in degree 3 using finite field heuristics'', Preprint, arXiv:1012.3402 [math.AG] (2010) Full Text: arXiv OA License
Sasaki, Tateaki; Inaba, Daiju Series expansion of multivariate algebraic functions at singular points – nonmonic case. (English) Zbl 1187.65023 Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 177-186 (2009). MSC: 65D20 12Y05 12E05 68W30 PDFBibTeX XMLCite \textit{T. Sasaki} and \textit{D. Inaba}, COE Lect. Note 22, 177--186 (2009; Zbl 1187.65023)
Graf von Bothmer, Hans-Christian Experimental results for the Poincaré center problem. (English) Zbl 1140.34015 NoDEA, Nonlinear Differ. Equ. Appl. 14, No. 5-6, 671-698 (2007). Reviewer: Alexey Remizov (Porto) MSC: 34C05 11T06 12E05 PDFBibTeX XMLCite \textit{H.-C. Graf von Bothmer}, NoDEA, Nonlinear Differ. Equ. Appl. 14, No. 5--6, 671--698 (2007; Zbl 1140.34015) Full Text: DOI arXiv
Żołądek, Henryk The monodromy group. (English) Zbl 1103.32015 Monografie Matematyczne. Instytut Matematyczny PAN (New Series) 67. Basel: Birkhäuser (ISBN 3-7643-7535-3/hbk). xi, 580 p. (2006). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 58K10 14D05 32-02 58-02 14-02 32G20 32G34 32S30 32S35 32S55 58K05 58K45 58K65 12H05 PDFBibTeX XMLCite \textit{H. Żołądek}, The monodromy group. Basel: Birkhäuser (2006; Zbl 1103.32015)
Jarrah, Abdul Salam; Laubenbacher, Reinhard; Romanovski, Valery The Sibirsky component of the center variety of polynomial differential systems. (English) Zbl 1035.34017 J. Symb. Comput. 35, No. 5, 577-589 (2003). Reviewer: Ladislav Adamec (Brno) MSC: 34C05 12H05 34-00 68W30 PDFBibTeX XMLCite \textit{A. S. Jarrah} et al., J. Symb. Comput. 35, No. 5, 577--589 (2003; Zbl 1035.34017) Full Text: DOI arXiv
Żołądek, Henryk Polynomial Riccati equations with algebraic solutions. (English) Zbl 1025.12002 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28-June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 58, 219-231 (2002). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 12H05 34C05 15B52 PDFBibTeX XMLCite \textit{H. Żołądek}, Banach Cent. Publ. 58, 219--231 (2002; Zbl 1025.12002) Full Text: DOI
Pillay, Anand Finite-dimensional differential algebraic groups and the Picard-Vessiot theory. (English) Zbl 1036.12006 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28–June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 58, 189-199 (2002). Reviewer: Andy R. Magid (Norman) MSC: 12H05 34M60 PDFBibTeX XMLCite \textit{A. Pillay}, Banach Cent. Publ. 58, 189--199 (2002; Zbl 1036.12006) Full Text: DOI
Schäfke, Reinhard Formal fundamental solutions of irregular singular differential equations depending upon parameters. (English) Zbl 1029.34077 J. Dyn. Control Syst. 7, No. 4, 501-533 (2001). Reviewer: Alexey A.Glutsyuk (Lyon Cedex 07) MSC: 34M25 12H05 PDFBibTeX XMLCite \textit{R. Schäfke}, J. Dyn. Control Syst. 7, No. 4, 501--533 (2001; Zbl 1029.34077) Full Text: DOI
Baltag, V. A.; Vulpe, N. I. Total multiplicity of all finite critical points of the polynomial differential system. (English) Zbl 0942.34027 Differ. Equ. Dyn. Syst. 5, No. 3-4, 455-471 (1997). Reviewer: Huaiping Zhu (Waterloo) MSC: 34C05 37B05 34C07 12H05 PDFBibTeX XMLCite \textit{V. A. Baltag} and \textit{N. I. Vulpe}, Differ. Equ. Dyn. Syst. 5, No. 3--4, 455--471 (1997; Zbl 0942.34027)
Collins, C. B. Algebraic classification of homogeneous polynomial vector fields in the plane. (English) Zbl 0855.34031 Japan J. Ind. Appl. Math. 13, No. 1, 63-91 (1996). MSC: 34C05 12H05 34A25 PDFBibTeX XMLCite \textit{C. B. Collins}, Japan J. Ind. Appl. Math. 13, No. 1, 63--91 (1996; Zbl 0855.34031) Full Text: DOI
Odani, Kenzi The limit cycle of the van der Pol equation is not algebraic. (English) Zbl 0816.34023 J. Differ. Equations 115, No. 1, 146-152 (1995). Reviewer: G.Christol (Paris) MSC: 34C05 12H20 PDFBibTeX XMLCite \textit{K. Odani}, J. Differ. Equations 115, No. 1, 146--152 (1995; Zbl 0816.34023) Full Text: DOI
Singer, Michael F.; Ulmer, Felix Necessary conditions for Liouvillian solutions of (third order) linear differential equations. (English) Zbl 0813.12003 Appl. Algebra Eng. Commun. Comput. 6, No. 1, 1-22 (1995). Reviewer: N.Sankaran (Chandigarh) MSC: 12H05 34A30 12F10 PDFBibTeX XMLCite \textit{M. F. Singer} and \textit{F. Ulmer}, Appl. Algebra Eng. Commun. Comput. 6, No. 1, 1--22 (1995; Zbl 0813.12003) Full Text: DOI
Ramis, Jean-Pierre About the solution of some inverse problems in differential Galois theory by Hamburger equations. (English) Zbl 0813.12005 Elworthy, K.D. (ed.) et al., Differential equations, dynamical systems, and control science. A Festschrift in Honor of Lawrence Markus. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 152, 277-299 (1994). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 12F10 34A30 12F12 12F20 34M50 PDFBibTeX XMLCite \textit{J.-P. Ramis}, Lect. Notes Pure Appl. Math. 152, 277--299 (1994; Zbl 0813.12005)
Jiang, Qibao The number of singular points of a polynomial system. (English) Zbl 0795.14002 J. Nanjing Univ., Math. Biq. 10, No. 1, 53-61 (1993). Reviewer: P.Skibinski (Łódź) MSC: 14B05 32S05 12D10 13H15 PDFBibTeX XMLCite \textit{Q. Jiang}, J. Nanjing Univ., Math. Biq. 10, No. 1, 53--61 (1993; Zbl 0795.14002)
Jaworski, Piotr About estimates on number of squares necessary to represent a positive- definite analytic function. (English) Zbl 0723.14043 Arch. Math. 58, No. 3, 276-279 (1992). Reviewer: P.Jaworski MSC: 14P20 32C05 12D15 PDFBibTeX XMLCite \textit{P. Jaworski}, Arch. Math. 58, No. 3, 276--279 (1992; Zbl 0723.14043) Full Text: DOI
Nishioka, Keiji General solutions depending algebraically on arbitrary constants. (English) Zbl 0702.12008 Nagoya Math. J. 113, 1-6 (1989). Reviewer: S.V.Duzhin MSC: 12H20 34C05 PDFBibTeX XMLCite \textit{K. Nishioka}, Nagoya Math. J. 113, 1--6 (1989; Zbl 0702.12008) Full Text: DOI
Sibuya, Yasutaka Differential modules and theorem of Hukuhara-Turrittin. (English) Zbl 0523.12020 Nonlinear phenomena in mathematical sciences, Proc. int Conf., Arlington/Tex. 1980, 927-937 (1982). MSC: 12H20 34G10 34C05 13F25 13N05 14F10 PDFBibTeX XML
Baldassarri, Francesco Differential modules and singular points of \(p\)-adic differential equations. (English) Zbl 0493.12030 Adv. Math. 44, 155-179 (1982). Reviewer: Francesco Baldassarri (Padova) MSC: 12H25 12H20 PDFBibTeX XMLCite \textit{F. Baldassarri}, Adv. Math. 44, 155--179 (1982; Zbl 0493.12030) Full Text: DOI
Stiller, Peter F. Differential equations associated with elliptic surfaces. (English) Zbl 0476.14014 J. Math. Soc. Japan 33, 203-233 (1981). MSC: 14J25 12H20 34G20 PDFBibTeX XMLCite \textit{P. F. Stiller}, J. Math. Soc. Japan 33, 203--233 (1981; Zbl 0476.14014) Full Text: DOI
Bertrand, Daniel Travaux récents sur les points singuliers des équations différentielles linéaires. (French) Zbl 0445.12012 Sémin. Bourbaki, 31e année, 1978/79, Exp. No. 538, Lect. Notes Math. 770, 228-243 (1980). MSC: 12H20 12H25 34M99 46F15 34C05 PDFBibTeX XML Full Text: Numdam EuDML