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Found 45 Documents (Results 1–45)

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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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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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Full Text: arXiv

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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On the solvability and unsolvability of equations in explicit form. (English. Russian original) Zbl 1069.34133

Russ. Math. Surv. 59, No. 4, 661-736 (2004); translation from Usp. Mat. Nauk 59, No. 4, 69-146 (2004).
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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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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).
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On a third order differential equation whose differential Galois group is the simple group of 168 elements. (English) Zbl 0813.12002

Cohen, Gérard (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 10th International symposium, AAECC-10, San Juan de Puerto Rico, Puerto Rico, May 10-14, 1993. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 673, 316-324 (1993).
MSC:  12H05 12F10 34A30
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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).
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Full Text: Numdam Link

The multiplicative integral and elementary solutions of some differential equations. (Russian) Zbl 0798.34010

Lupanov, O. B. (ed.) et al., Algebra, geometry and discrete mathematics in nonlinear problems. Moskva: Izdatel’stvo Moskovskogo Universiteta. 97-107 (1991).
Reviewer: W.Müller (Berlin)
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