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Found 125 Documents (Results 1–100)

Parallel telescoping and parameterized Picard-Vessiot theory. (English) Zbl 1325.68269

Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 99-106 (2014).
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Computing the differential Galois group of a parameterized second-order linear differential equation. (English) Zbl 1325.68263

Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 43-50 (2014).
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Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials. (English) Zbl 1248.81032

Acosta-Humánez, Primitivo B. (ed.) et al., Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Providence, RI: American Mathematical Society (AMS); Bogota: Instituto de Matemáticas y sus Aplicaciones (IMA). (ISBN 978-0-8218-7584-1/pbk). Contemporary Mathematics 563, 1-31 (2012).
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Picard-Vessiot theory in general Galois theory. (English) Zbl 1252.12007

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, 263-293 (2011).
MSC:  12H05 12H10
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On the problem of Baer and Kolchin in the Picard-Vessiot theory. (English) Zbl 1252.12003

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, 215-220 (2011).
MSC:  12H05 01A60
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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).
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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).
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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
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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).
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Embedding problems in differential Galois theory. (Einbettungsprobleme in der Differentialgaloistheorie.) (English) Zbl 1091.12003

Heidelberg: Universität Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Dissertation). 63 p. (2003).
MSC:  12H05 12F10
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A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory. (English) Zbl 1035.37041

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, 165-175 (2002).
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Inverse differential Galois theory. (English) Zbl 1016.12006

Guo, Li (ed.) et al., Proceedings of the international workshop on differential algebra and related topics, Rutgers-The State University of New Jersey, New Brunswick, NJ, USA, November 2-3, 2000. Singapore: World Scientific. 151-169 (2002).
MSC:  12H05 12F12 14G32
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Differential fields and complex differential equations. (English) Zbl 0997.11054

Aulaskari, Rauno (ed.) et al., Function spaces and complex analysis, Joensuu 1997. Papers from the summer school, Ilomantsi, Finland, August 25-29, 1997. Joensuu: University of Joensuu. Rep. Ser., Dept. Math. Univ. Joensuu. 2, 79-106 (1999).
MSC:  11J91 12H05 34M99
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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)
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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).
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About the inverse problem in differential Galois theory: The differential Abhyankar conjecture. (English) Zbl 0860.12003

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. 261-278 (1996).
MSC:  12H05 12F12 34M50
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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).
MSC:  12H10 39A10 12-02
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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).
MSC:  12H05 12F12
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NC solving of a system of linear ordinary differential equations in several unknowns. (English) Zbl 0846.68047

Bolibruch, A. A. (ed.) et al., Mathematics in St. Petersburg. Based on a three-day conference, St. Petersburg, Russia, October 1993. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 174, 181-192 (1996).
MSC:  68Q25 34A99 34A30
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