Robertz, Daniel; Seiß, Matthias Normal forms in differential Galois theory for the classical groups. (English) Zbl 1526.12003 Commun. Algebra 51, No. 4, 1492-1516 (2023). Reviewer: Andy R. Magid (Norman) MSC: 12H05 34A30 34M15 PDFBibTeX XMLCite \textit{D. Robertz} and \textit{M. Seiß}, Commun. Algebra 51, No. 4, 1492--1516 (2023; Zbl 1526.12003) Full Text: DOI arXiv
Duque, Óscar M. Londoño; Acevedo, Yeisson A.; Loaiza, Gabriel I. Lie group symmetries’ complete classification for a generalized Chazy equation and its equivalence group. (English) Zbl 1513.76108 Rev. Mat. Teor. Apl. 29, No. 1, 1-17 (2022). MSC: 76M60 70G65 34C14 PDFBibTeX XMLCite \textit{Ó. M. L. Duque} et al., Rev. Mat. Teor. Apl. 29, No. 1, 1--17 (2022; Zbl 1513.76108) Full Text: DOI
Nadjafikhah, M.; Dodangeh, S. Symmetry group classification for generalized reaction-diffusion-convection equation. (English) Zbl 1400.35013 Appl. Sci. 20, 139-147 (2018). MSC: 35B06 34C14 76M60 35K57 PDFBibTeX XMLCite \textit{M. Nadjafikhah} and \textit{S. Dodangeh}, Appl. Sci. 20, 139--147 (2018; Zbl 1400.35013) Full Text: Link
Al-Dweik, Ahmad Y.; Mustafa, M. T.; Mahomed, Fazal Mahmood Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra. (English) Zbl 1394.76107 Math. Methods Appl. Sci. 41, No. 12, 4714-4723 (2018). MSC: 76M60 34C14 PDFBibTeX XMLCite \textit{A. Y. Al-Dweik} et al., Math. Methods Appl. Sci. 41, No. 12, 4714--4723 (2018; Zbl 1394.76107) Full Text: DOI arXiv
Ndogmo, J. C. Characterization of canonical classes for systems of linear ODEs. (English) Zbl 1372.34029 Math. Methods Appl. Sci. 40, No. 13, 4928-4936 (2017). MSC: 34A30 34C20 34C14 PDFBibTeX XMLCite \textit{J. C. Ndogmo}, Math. Methods Appl. Sci. 40, No. 13, 4928--4936 (2017; Zbl 1372.34029) Full Text: DOI
Shen, Shou-feng; Jin, Yong-yang Group classification of differential-difference equations: low-dimensional Lie algebras. (English) Zbl 1375.34058 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 345-362 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 34C14 PDFBibTeX XMLCite \textit{S.-f. Shen} and \textit{Y.-y. Jin}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 345--362 (2017; Zbl 1375.34058) Full Text: DOI
Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups. (English) Zbl 1460.12002 J. Phys. A, Math. Theor. 48, No. 10, Article ID 105202, 40 p. (2015). MSC: 12H05 82B20 34M55 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 48, No. 10, Article ID 105202, 40 p. (2015; Zbl 1460.12002) Full Text: DOI arXiv
Ndogmo, Jean-Claude Coefficient characterization of linear differential equations with maximal symmetries. (English) Zbl 1443.34016 Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1270-1278 (2014). MSC: 34A25 34C14 58J72 PDFBibTeX XMLCite \textit{J.-C. Ndogmo}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1270--1278 (2014; Zbl 1443.34016) Full Text: DOI
Muatjetjeja, Ben; Khalique, Chaudry Masood Lie group classification for a generalised coupled Lane-Emden system in dimension one. (English) Zbl 1321.34052 East Asian J. Appl. Math. 4, No. 4, 301-311 (2014). Reviewer: Jinzhi Lei (Beijing) MSC: 34C14 34C20 34A05 PDFBibTeX XMLCite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, East Asian J. Appl. Math. 4, No. 4, 301--311 (2014; Zbl 1321.34052) Full Text: DOI
Sanabria Malagón, Camilo On linear differential equations with reductive Galois group. (English) Zbl 1311.12005 J. Algebra 408, 63-101 (2014). MSC: 12H05 12F10 12H20 34C14 PDFBibTeX XMLCite \textit{C. Sanabria Malagón}, J. Algebra 408, 63--101 (2014; Zbl 1311.12005) Full Text: DOI arXiv
Nadjafikhah, Mehdi; Chamazkoti, Rohollah Bakhshandeh Cartan equivalence problem for third-order differential operators. (English) Zbl 1287.34035 Turk. J. Math. 37, No. 6, 949-958 (2013). MSC: 34C41 34A30 34C14 34A26 PDFBibTeX XMLCite \textit{M. Nadjafikhah} and \textit{R. B. Chamazkoti}, Turk. J. Math. 37, No. 6, 949--958 (2013; Zbl 1287.34035) Full Text: arXiv
Krasnov, Yakov; Kononovich, Alexander; Osharovich, Grigory On a structure of the fixed point set of homogeneous maps. (English) Zbl 1279.47078 Discrete Contin. Dyn. Syst., Ser. S 6, No. 4, 1017-1027 (2013). Reviewer: Pilar Rueda (Burjassot) MSC: 47H60 34A34 15A69 15A18 34C14 34C41 PDFBibTeX XMLCite \textit{Y. Krasnov} et al., Discrete Contin. Dyn. Syst., Ser. S 6, No. 4, 1017--1027 (2013; Zbl 1279.47078) Full Text: DOI
Crooks, Peter; Milson, Robert On projective equivalence of univariate polynomial subspaces. (English) Zbl 1189.14055 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 107, 24 p. (2009). MSC: 14M15 15A72 34A30 58K05 PDFBibTeX XMLCite \textit{P. Crooks} and \textit{R. Milson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 107, 24 p. (2009; Zbl 1189.14055) Full Text: DOI arXiv EuDML EMIS
Neut, Sylvain; Petitot, Michel; Dridi, Raouf Élie Cartan’s geometrical vision or how to avoid expression swell. (English) Zbl 1161.65054 J. Symb. Comput. 44, No. 3, 261-270 (2009). MSC: 65L05 13N99 12H05 34A26 68W30 PDFBibTeX XMLCite \textit{S. Neut} et al., J. Symb. Comput. 44, No. 3, 261--270 (2009; Zbl 1161.65054) Full Text: DOI arXiv
Ibragimov, Nail H.; Meleshko, Sergey V. Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. (English) Zbl 1221.34088 Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1015-1020 (2008). MSC: 34C14 76M60 PDFBibTeX XMLCite \textit{N. H. Ibragimov} and \textit{S. V. Meleshko}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1015--1020 (2008; Zbl 1221.34088) Full Text: DOI
Schwarz, Fritz Algorithmic Lie theory for solving ordinary differential equations. (English) Zbl 1139.34003 Pure and Applied Mathematics (Boca Raton) 291. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-889-5/hbk). x, 434 p. (2008). Reviewer: Werner M. Seiler (Kassel) MSC: 34-02 34A26 34-04 34A05 35N10 68W30 PDFBibTeX XMLCite \textit{F. Schwarz}, Algorithmic Lie theory for solving ordinary differential equations. Boca Raton, FL: Chapman \& Hall/CRC (2008; Zbl 1139.34003)
Schwarz, F. Equivalence classes, symmetries and solutions of linear third-order differential equations. (English) Zbl 1025.34005 Computing 69, No. 2, 141-162 (2002). Reviewer: M.Ivanovici (Craiova) MSC: 34A25 34C14 34A05 34C41 34B30 PDFBibTeX XMLCite \textit{F. Schwarz}, Computing 69, No. 2, 141--162 (2002; Zbl 1025.34005) Full Text: DOI
Schwarz, F. Solving third order differential equations with maximal symmetry group. (English) Zbl 0980.34001 Computing 65, No. 2, 155-167 (2000). Reviewer: G.Czichowski (Greifswald) MSC: 34A25 34B30 34A05 PDFBibTeX XMLCite \textit{F. Schwarz}, Computing 65, No. 2, 155--167 (2000; Zbl 0980.34001) Full Text: DOI
Schwarz, F. Algorithmic solution of Abel’s equation. (English) Zbl 0906.34002 Computing 61, No. 1, 39-46 (1998). MSC: 34A05 34A25 34B30 68W30 PDFBibTeX XMLCite \textit{F. Schwarz}, Computing 61, No. 1, 39--46 (1998; Zbl 0906.34002) Full Text: DOI
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
Gantmakher, F. R. Matrizentheorie. Übers. aus dem Russischen von Helmut Boseck, Dietmar Soyka und Klaus Stengert. (Nach der 2. Aufl. 1966). (German) Zbl 0588.15001 Hochschulbücher für Mathematik, Bd. 86. Berlin: VEB Deutscher Verlag der Wissenschaften. 654 S. (1986). MSC: 15-01 34-01 65F05 34A30 93D05 PDFBibTeX XML
Weisfeiler, Boris Comments on differential invariants. (English) Zbl 0621.12018 Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 355-370 (1985). Reviewer: Richard M. Cohn MSC: 12H05 34G10 20G20 PDFBibTeX XML
Kocak, Hueseyin Normal forms and versal deformations of linear Hamiltonian systems. (English) Zbl 0488.34034 J. Differ. Equations 51, 359-407 (1984). MSC: 34C99 70H05 34C20 34A99 PDFBibTeX XMLCite \textit{H. Kocak}, J. Differ. Equations 51, 359--407 (1984; Zbl 0488.34034) Full Text: DOI
Frost, M. G.; Storey, C. Equivalence of a matrix over \({\mathcal R}[s,z]\) with its Smith form. (English) Zbl 0394.93013 Int. J. Control 28, 665-671 (1978). MSC: 93B25 93C15 34K35 93C20 15B33 PDFBibTeX XMLCite \textit{M. G. Frost} and \textit{C. Storey}, Int. J. Control 28, 665--671 (1978; Zbl 0394.93013) Full Text: DOI