Brouette, Quentin; Cousins, Greg; Pillay, Anand; Point, Francoise Embedded Picard-Vessiot extensions. (English) Zbl 06959283 Commun. Algebra 46, No. 11, 4609-4615 (2018). MSC: 03C60 34M15 PDF BibTeX XML Cite \textit{Q. Brouette} et al., Commun. Algebra 46, No. 11, 4609--4615 (2018; Zbl 06959283) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew; van der Put, Marius Real and \(p\)-adic Picard-Vessiot fields. (English) Zbl 1344.34096 Math. Ann. 365, No. 1-2, 93-103 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 12H20 12H25 34M50 11E10 11R34 PDF BibTeX XML Cite \textit{T. Crespo} et al., Math. Ann. 365, No. 1--2, 93--103 (2016; Zbl 1344.34096) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew; Sowa-Adamus, Elżbieta Galois correspondence theorem for Picard-Vessiot extensions. (English) Zbl 1331.12010 Arnold Math. J. 2, No. 1, 21-27 (2016). MSC: 12H05 12F10 PDF BibTeX XML Cite \textit{T. Crespo} et al., Arnold Math. J. 2, No. 1, 21--27 (2016; Zbl 1331.12010) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew; Sowa, Elżbieta Picard-Vessiot theory for real fields. (English) Zbl 1298.12004 Isr. J. Math. 198, 75-89 (2013). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 34A30 37C10 PDF BibTeX XML Cite \textit{T. Crespo} et al., Isr. J. Math. 198, 75--89 (2013; Zbl 1298.12004) Full Text: DOI arXiv
Binyamini, G.; Novikov, D.; Yakovenko, S. Quasialgebraic functions. (English) Zbl 1241.34036 Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 61-81 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 34C08 32S65 34M03 34M56 34M35 PDF BibTeX XML Cite \textit{G. Binyamini} et al., Banach Cent. Publ. 94, 61--81 (2011; Zbl 1241.34036) Full Text: DOI
Duval, Guillaume Valuations and differential Galois groups. (English) Zbl 1248.12003 Mem. Am. Math. Soc. 998, vii, 68 p. (2011). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12-02 34M15 12J20 PDF BibTeX XML Cite \textit{G. Duval}, Valuations and differential Galois groups. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1248.12003) Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Algebraic groups and differential Galois theory. (English) Zbl 1215.12001 Graduate Studies in Mathematics 122. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5318-4/hbk). xiv, 225 p. (2011). Reviewer: Werner Kleinert (Berlin) MSC: 12-01 12H05 13B05 14A05 17B45 20G15 34M35 12H20 14L35 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, Algebraic groups and differential Galois theory. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1215.12001) Full Text: arXiv
Maurischat, Andreas Infinitesimal group schemes as iterative differential Galois groups. (English) Zbl 1193.13027 J. Pure Appl. Algebra 214, No. 11, 2092-2100 (2010). Reviewer: John N. Mordeson (Omaha) MSC: 13N99 12H05 12F15 PDF BibTeX XML Cite \textit{A. Maurischat}, J. Pure Appl. Algebra 214, No. 11, 2092--2100 (2010; Zbl 1193.13027) Full Text: DOI arXiv
Amano, Katsutoshi; Masuoka, Akira; Takeuchi, Mitsuhiro Hopf algebraic approach to Picard-Vessiot theory. (English) Zbl 1218.12003 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 127-171 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 12H20 12-02 16T05 12H05 PDF BibTeX XML Cite \textit{K. Amano} et al., Handb. Algebra 6, 127--171 (2009; Zbl 1218.12003) Full Text: DOI
Levin, Alexander B. Difference algebra. (English) Zbl 1209.12003 Algebra and Applications 8. New York, NY: Springer (ISBN 978-1-4020-6946-8/hbk). xi, 519 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 12H10 12-02 PDF BibTeX XML Cite \textit{A. B. Levin}, Difference algebra. New York, NY: Springer (2008; Zbl 1209.12003)
Crespo, Teresa; Hajto, Zbigniew Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. (English) Zbl 1172.12002 Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (ISBN 978-83-7242-453-2/pbk). 94 p. (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12-02 12H05 34M15 37J35 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (2007; Zbl 1172.12002)
Bronstein, Manuel; Li, Ziming; Wu, Min Picard-Vessiot extensions for linear functional systems. (English) Zbl 1360.12005 Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 68-75 (2005). MSC: 12H05 12H20 12Y05 35A08 68W30 PDF BibTeX XML Cite \textit{M. Bronstein} et al., in: Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC'05, Beijing, China, July 24--27, 2005. New York, NY: ACM Press. 68--75 (2005; Zbl 1360.12005) Full Text: DOI
Yakovenko, Sergei Quantitative theory of ordinary differential equations and the tangential Hilbert 16th problem. (English) Zbl 1104.34025 Schlomiuk, Dana et al., On finiteness in differential equations and Diophantine geometry. Edited by Dana Schlomiuk. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2805-3/hbk). CRM Monograph Series 24, 41-109 (2005). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 34-02 37C27 34M35 34M50 37G15 30C15 PDF BibTeX XML Cite \textit{S. Yakovenko}, CRM Monogr. Ser. 24, 41--109 (2005; Zbl 1104.34025)
Chambert-Loir, Antoine A field guide to algebra. (English) Zbl 1155.12001 Undergraduate Texts in Mathematics. New York, NY: Springer (ISBN 0-387-21428-3/hbk). x, 195 p. (2005). Reviewer: Werner Kleinert (Berlin) MSC: 12-01 12Fxx 12H20 20-01 34M15 PDF BibTeX XML Cite \textit{A. Chambert-Loir}, A field guide to algebra. New York, NY: Springer (2005; Zbl 1155.12001)
Bertrand, D.; Zudilin, W. On the transcendence degree of the differential field generated by Siegel modular forms. (English) Zbl 1130.11020 J. Reine Angew. Math. 554, 47-68 (2003). Reviewer: Mykola Ya. Komarnytskyy (Lviv) MSC: 11F46 12H05 PDF BibTeX XML Cite \textit{D. Bertrand} and \textit{W. Zudilin}, J. Reine Angew. Math. 554, 47--68 (2003; Zbl 1130.11020) Full Text: DOI arXiv
van der Put, Marius; Singer, Michael F. Galois theory of linear differential equations. (English) Zbl 1036.12008 Grundlehren der Mathematischen Wissenschaften 328. Berlin: Springer (ISBN 3-540-44228-6/hbk). xvii, 438 p. (2003). Reviewer: Andy R. Magid (Norman) MSC: 12H05 12-02 34Mxx 34A30 34-02 PDF BibTeX XML Cite \textit{M. van der Put} and \textit{M. F. Singer}, Galois theory of linear differential equations. Berlin: Springer (2003; Zbl 1036.12008)
Hrushovski, Ehud Computing the Galois group of a linear differential equation. (English) Zbl 1099.12003 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, 97-138 (2002). MSC: 12H05 03C60 12L05 34A30 PDF BibTeX XML Cite \textit{E. Hrushovski}, Banach Cent. Publ. 58, 97--138 (2002; Zbl 1099.12003) Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Differential Galois realization of double covers. (English) Zbl 1017.12005 Ann. Inst. Fourier 52, No. 4, 1017-1025 (2002). Reviewer: Andy R.Magid (Norman) MSC: 12H05 12F12 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, Ann. Inst. Fourier 52, No. 4, 1017--1025 (2002; Zbl 1017.12005) Full Text: DOI Numdam EuDML
Crespo, Teresa; Hajto, Zbigniew Double covers as differential Galois groups. (Recouvrements doubles comme groupes de Galois différentiels.) (French) Zbl 1018.12005 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 4, 271-274 (2001). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 12F12 34M50 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 4, 271--274 (2001; Zbl 1018.12005) Full Text: DOI
Compoint, Elie; Singer, Michael F. Computing Galois groups of completely reducible differential equations. (English) Zbl 0997.12009 J. Symb. Comput. 28, No. 4-5, 473-494 (1999). MSC: 12H05 12H20 34A30 12Y05 68W30 PDF BibTeX XML Cite \textit{E. Compoint} and \textit{M. F. Singer}, J. Symb. Comput. 28, No. 4--5, 473--494 (1999; Zbl 0997.12009) Full Text: DOI
Kolchin, Ellis Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. (English) Zbl 0930.12004 Providence, RI: American Mathematical Society (AMS). xiii, 639 p. (1999). Reviewer: A.R.Magid (Norman) MSC: 12H05 12-03 01A75 12-02 13N99 PDF BibTeX XML Cite \textit{E. Kolchin}, Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. Providence, RI: American Mathematical Society (1999; Zbl 0930.12004)
van der Put, Marius Recent work on differential Galois theory. (English) Zbl 0931.12008 Séminaire Bourbaki. Volume 1997/98. Exposés 835–849. Paris: Société Mathématique de France, Astérisque. 252, 341-367, Exp. No. 849 (1998). Reviewer: N.Sankaran (Bangalore) MSC: 12H05 13N10 12-02 34M40 34M50 PDF BibTeX XML Cite \textit{M. van der Put}, in: Séminaire Bourbaki. Volume 1997/98. Exposés 835--849. Paris: Société Ma\-thé\-ma\-tique de France. 341--367, Exp. No. 849 (1998; Zbl 0931.12008) Full Text: Numdam EuDML
Salikhov, V. Kh. Criterion for the algebraic independence of values of hypergeometric \(E\)-functions (even case). (English. Russian original) Zbl 0930.11057 Math. Notes 64, No. 2, 230-239 (1998); translation from Mat. Zametki 64, No. 2, 273-284 (1998). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 12H05 PDF BibTeX XML Cite \textit{V. Kh. Salikhov}, Math. Notes 64, No. 2, 230--239 (1998; Zbl 0930.11057); translation from Mat. Zametki 64, No. 2, 273--284 (1998) Full Text: DOI
Skórnik, Krystyna; Wloka, Joseph \(m\)-reduction of ordinary differential equations. (English) Zbl 0927.12002 Colloq. Math. 78, No. 2, 195-212 (1998). Reviewer: N.Sankaran (Bangalore) MSC: 12H05 34A05 34M50 44A40 PDF BibTeX XML Cite \textit{K. Skórnik} and \textit{J. Wloka}, Colloq. Math. 78, No. 2, 195--212 (1998; Zbl 0927.12002) Full Text: DOI EuDML
Compoint, Elie Differential equations and algebraic relations. (English) Zbl 0911.12004 J. Symb. Comput. 25, No. 6, 405-425 (1998). Reviewer: N.V.Grigorenko (Kyïv) MSC: 12H20 68W30 12Y05 11J85 33C60 PDF BibTeX XML Cite \textit{E. Compoint}, J. Symb. Comput. 25, No. 6, 405--425 (1998; Zbl 0911.12004) Full Text: DOI
Fahim, A. Galois extensions of differential algebras. (Extensions galoisiennes d’algèbres différentielles.) (French) Zbl 0903.12004 Pac. J. Math. 180, No. 1, 7-40 (1997). Reviewer: A.R.Magid (Norman) MSC: 12H05 13N99 12F20 12F10 13H99 PDF BibTeX XML Cite \textit{A. Fahim}, Pac. J. Math. 180, No. 1, 7--40 (1997; Zbl 0903.12004) Full Text: DOI Link
van der Put, Marius; Singer, Michael F. Galois theory of difference equations. (English) Zbl 0930.12006 Lecture Notes in Mathematics. 1666. Berlin: Springer. vii, 180 p. (1997). Reviewer: Andy R. Magid (Norman) MSC: 12H10 12-02 39A10 PDF BibTeX XML Cite \textit{M. van der Put} and \textit{M. F. Singer}, Galois theory of difference equations. Berlin: Springer (1997; Zbl 0930.12006) Full Text: DOI
Ulmer, Felix; Weil, Jacques-Arthur Note on Kovacic’s algorithm. (English) Zbl 0871.12008 J. Symb. Comput. 22, No. 2, 179-200 (1996). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 12H05 34A30 12H20 68W30 PDF BibTeX XML Cite \textit{F. Ulmer} and \textit{J.-A. Weil}, J. Symb. Comput. 22, No. 2, 179--200 (1996; Zbl 0871.12008) Full Text: DOI
Mitschi, C.; Singer, M. F. Connected linear groups as differential Galois groups. (English) Zbl 0867.12004 J. Algebra 184, No. 1, 333-361 (1996). Reviewer: A.R.Magid (Norman) MSC: 12H05 12F20 PDF BibTeX XML Cite \textit{C. Mitschi} and \textit{M. F. Singer}, J. Algebra 184, No. 1, 333--361 (1996; Zbl 0867.12004) Full Text: DOI
van der Put, Marius Galois theory of difference equations. A survey. (English) Zbl 0860.12004 Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific, 237-259 (1996). Reviewer: N. Sankaran (Bangalore) MSC: 12H10 39A10 12-02 PDF BibTeX XML Cite \textit{M. van der Put}, in: The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 237--259 (1996; Zbl 0860.12004)
Mitschi, Claude; Singer, Michael F. The inverse problem in differential Galois theory. (English) Zbl 0858.12003 Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 185-196 (1996). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 12F12 PDF BibTeX XML Cite \textit{C. Mitschi} and \textit{M. F. Singer}, in: The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 185--196 (1996; Zbl 0858.12003)
Marker, D.; Messmer, M.; Pillay, A. Model theory of fields. (English) Zbl 0911.12005 Lecture Notes in Logic. 5. Berlin: Springer-Verlag. ix, 154 p. (1996). Reviewer: Salma Kuhlmann (Saskatoon) MSC: 12L12 12-02 03-02 03C60 03C10 12H05 03C45 PDF BibTeX XML Cite \textit{D. Marker} et al., Model theory of fields. Berlin: Springer-Verlag (1996; Zbl 0911.12005)
Weil, Jacques-Arthur First integrals and Darboux polynomials of homogeneous linear differential systems. (English) Zbl 0885.12005 Cohen, Gérard (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 948, 469-484 (1995). Reviewer: N.V.Grigorenko (Kyïv) MSC: 12H05 12H20 34G10 PDF BibTeX XML Cite \textit{J.-A. Weil}, Lect. Notes Comput. Sci. 948, 469--484 (1995; Zbl 0885.12005)
Nishioka, Keiji Linear differential equation attached to Painlevé’s first equation. (English) Zbl 0842.12002 Funkc. Ekvacioj, Ser. Int. 38, No. 2, 277-282 (1995). Reviewer: N.Sankaran (Bangalore) MSC: 12H05 34A30 PDF BibTeX XML Cite \textit{K. Nishioka}, Funkc. Ekvacioj, Ser. Int. 38, No. 2, 277--282 (1995; Zbl 0842.12002)
van der Put, Marius Differential equations in characteristic \(p\). (English) Zbl 0861.12004 Compos. Math. 97, No. 1-2, 227-251 (1995). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H20 13N10 12H05 PDF BibTeX XML Cite \textit{M. van der Put}, Compos. Math. 97, No. 1--2, 227--251 (1995; Zbl 0861.12004) Full Text: Numdam EuDML
Magid, Andy R. Lectures on differential Galois theory. (English) Zbl 0855.12001 University Lecture Series. 7. Providence, RI: American Mathematical Society (AMS). xiii, 104 p. (1994). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12-02 12H05 12F10 12F20 12F12 PDF BibTeX XML Cite \textit{A. R. Magid}, Lectures on differential Galois theory. Providence, RI: AMS, American Mathematical Society (1994; Zbl 0855.12001)
Compoint, Elie Generalization of a theorem of Fano and Singer. (Généralisation d’un théorème de Fano-Singer.) (French) Zbl 0810.12005 C. R. Acad. Sci., Paris, Sér. I 318, No. 10, 885-887 (1994). Reviewer: M.F.Singer (Raleigh) MSC: 12H05 34M99 PDF BibTeX XML Cite \textit{E. Compoint}, C. R. Acad. Sci., Paris, Sér. I 318, No. 10, 885--887 (1994; Zbl 0810.12005)
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 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Lect. Notes Pure Appl. Math. 152, 277--299 (1994; Zbl 0813.12005)
Nishioka, Keiji Irreducibility of the linear differential equation attached to Painlevé’s first equation. (English) Zbl 0795.12005 Tokyo J. Math. 16, No. 1, 171-177 (1993). Reviewer: F.Schwarz (Paderborn) MSC: 12H05 34A30 34C20 PDF BibTeX XML Cite \textit{K. Nishioka}, Tokyo J. Math. 16, No. 1, 171--177 (1993; Zbl 0795.12005) Full Text: DOI
Bertrand, Daniel Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) (French) Zbl 0813.12004 Séminaire Bourbaki, Vol. 1991/92. Exposés 745-759 (avec table par noms d’auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France, Astérisque. 206, 183-204 (Exp. No. 750) (1992). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 12F10 34A30 12F20 PDF BibTeX XML Cite \textit{D. Bertrand}, in: Séminaire Bourbaki, volume 1991/92. Exposés 745-759 (avec table par noms d'auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France. 183--204 (Exp. No. 750) (1992; Zbl 0813.12004) Full Text: Link Numdam
Ulmer, Felix Design of algorithms for the computation of Liouvillian solutions of ordinary differential equations. (Entwurf von Algorithmen zur Berechnung Liouvillescher Lösungen von linearen gewöhnlichen Differentialgleichungen.) (German) Zbl 1038.12501 Hamburg: Verlag Dr. Kovač (ISBN 3-925630-93-7/pbk). iii, 123 S. (1991). MSC: 12H05 12H20 34A30 68W30 12Y05 PDF BibTeX XML Cite \textit{F. Ulmer}, Entwurf von Algorithmen zur Berechnung Liouvillescher Lösungen von linearen ge\-wöhn\-li\-chen Differentialgleichungen. Hamburg: Verlag Dr. Kovač (1991; Zbl 1038.12501)
Buium, Alexandru Splitting differential algebraic groups. (English) Zbl 0718.12004 J. Algebra 130, No. 1, 97-105 (1990). Reviewer: A.R.Magid (Norman/Oklahoma) MSC: 12H05 14L35 14F10 PDF BibTeX XML Cite \textit{A. Buium}, J. Algebra 130, No. 1, 97--105 (1990; Zbl 0718.12004) Full Text: DOI
Haraoka, Yoshishige G-primitive extensions for linear ordinary differential equations. (English) Zbl 0704.12008 Kumamoto J. Math. 3, 1-9 (1990). Reviewer: N.V.Grigorenko MSC: 12H05 12F05 PDF BibTeX XML Cite \textit{Y. Haraoka}, Kumamoto J. Math. 3, 1--9 (1990; Zbl 0704.12008)
Takeuchi, Mitsuhiro A Hopf algebraic approach to the Picard-Vessiot theory. (English) Zbl 0669.16004 J. Algebra 122, No. 2, 481-509 (1989). Reviewer: E.J.Taft MSC: 16W30 12H05 34G10 16W20 PDF BibTeX XML Cite \textit{M. Takeuchi}, J. Algebra 122, No. 2, 481--509 (1989; Zbl 0669.16004) Full Text: DOI
Singer, Michael F. Algebraic relations among solutions of linear differential equations: Fano’s theorem. (English) Zbl 0651.12016 Am. J. Math. 110, No. 1, 115-143 (1988). Reviewer: M.Ţarina MSC: 12H20 14F10 PDF BibTeX XML Cite \textit{M. F. Singer}, Am. J. Math. 110, No. 1, 115--143 (1988; Zbl 0651.12016) Full Text: DOI
Okugawa, Kôtaro Differential algebra of nonzero characteristic. (English) Zbl 0757.12004 Lectures in Mathematics. Department of Mathematics, Kyoto University. 16. Tokyo: Kinokuniya Company Ltd. xi, 192 p. (1987). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 12-02 13Nxx 12F10 PDF BibTeX XML Cite \textit{K. Okugawa}, Differential algebra of nonzero characteristic. Tokyo: Kinokuniya Company Ltd. (1987; Zbl 0757.12004)
Bykova, L. Ya. Differential generators of the differential field of a finite number of parametrized surfaces for the action of the group \(O(2,\mathbb{R})\) in \(\mathbb{R}^ 2\). (Russian) Zbl 0737.12002 Mathematical analysis, algebra and probability theory, Collect. Sci. Works, Tashkent, 26-28 (1987). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 14L30 15A72 PDF BibTeX XML
Buium, Alexandru Differential function fields and moduli of algebraic varieties. (English) Zbl 0613.12018 Lecture Notes in Mathematics, 1226. Berlin etc.: Springer-Verlag. IX, 146 p. DM 28.50 (1986). Reviewer: K.Kiyek MSC: 12H05 14H05 14D20 12H20 70H05 37J99 14-02 12-02 PDF BibTeX XML
Rehm, Hans Peter On second order linear differential equations with few transcendental solutions. (English) Zbl 0602.12008 Manuscr. Math. 56, 193-207 (1986). MSC: 12H20 12H05 34G10 PDF BibTeX XML Cite \textit{H. P. Rehm}, Manuscr. Math. 56, 193--207 (1986; Zbl 0602.12008) Full Text: DOI EuDML
Singer, Michael F. Algebraic relations among solutions of linear differential equations. (English) Zbl 0593.12014 Trans. Am. Math. Soc. 295, 753-763 (1986). Reviewer: Mykola Grygorenko (N. V. Grigorenko) (Kyïv) MSC: 12H05 34G10 PDF BibTeX XML Cite \textit{M. F. Singer}, Trans. Am. Math. Soc. 295, 753--763 (1986; Zbl 0593.12014) 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 PDF BibTeX XML Cite \textit{W. A. Harris jun.} and \textit{Y. Sibuya}, Adv. Math. 58, 119--132 (1985; Zbl 0581.12013) Full Text: DOI
Infante, Ronald P. On the inverse problem in difference Galois theory. (English) Zbl 0509.12024 Contemp. Math. 13, 349-352 (1982). MSC: 12H10 20G99 39A10 PDF BibTeX XML Full Text: DOI
Tretkoff, Carol; Tretkoff, Marvin Solution of the inverse problem of differential Galois theory in the classical case. (English) Zbl 0423.12021 Am. J. Math. 101, 1327-1332 (1979). MSC: 12H05 12F10 PDF BibTeX XML Cite \textit{C. Tretkoff} and \textit{M. Tretkoff}, Am. J. Math. 101, 1327--1332 (1979; Zbl 0423.12021) Full Text: DOI
Grigorenko, N. V. Criterion of solvability by means of quadratures and a direct problem of Galois theory for linear differential equations. (Russian) Zbl 0435.12012 Theoretical and applied problems for differential equations and algebra, Collect. sci. Works, Kiev 1978, 71-75 (1978). MSC: 12H20 34A05 12H05 PDF BibTeX XML
Kaplansky, Irving An introduction to differential algebra. (English) Zbl 0083.03301 Actualités Scientifiques et Industrielles. 1251. Publ. Inst. Math. Univ. Nancago. V. Paris: Hermann & Cie. 62 p. (1957). Reviewer: Frank Levin (Lexington/KY) MSC: 12H05 12-01 PDF BibTeX XML