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Found 155 Documents (Results 1–100)

Lie Algebra Classification, Conservation Laws and Invariant Solutions for a Variant of the Levinson-Smith Equation. arXiv:2310.12438

Preprint, arXiv:2310.12438 [math.CA] (2023).
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Categories of symmetry groups of the space of solutions of the special doubly confluent Heun equation. (English. Russian original) Zbl 07455543

Math. Notes 110, No. 5, 643-654 (2021); translation from Mat. Zametki 110, No. 5, 643-657 (2021).
MSC:  20Fxx 34Mxx 33Cxx
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Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group. (English. Russian original) Zbl 1482.81012

Theor. Math. Phys. 208, No. 3, 1265-1276 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 481-494 (2021).
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Complex differential equations and geometric structures on curves. (English) Zbl 1409.37053

Hernández-Lamoneda, Luis (ed.) et al., Geometrical themes inspired by the N-body problem. Lecture notes given at the 7th mini-meeting on differential geometry, Center for Research in Mathematics (CIMAT), Guanajuato, México, February 17–19, 2015. Cham: Springer. Lect. Notes Math. 2204, 1-47 (2018).
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Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. (English. Russian original) Zbl 1395.34086

Math. Notes 103, No. 3, 357-371 (2018); translation from Mat. Zametki 103, No. 3, 346-363 (2018).
MSC:  34M03 20C05 34M15
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Integrable systems and differential Galois theory. (English) Zbl 1418.37096

Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016).
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Topological Galois theory. Solvability and unsolvability of equations in finite terms. Translated from the Russian by Valentina Kirichenko, Lucy Kadets and Vladen Timorin. Appendices C and D written jointly with Yura Burda. Translation based on the Russian original 2008. (English) Zbl 1331.12001

Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-38870-5/hbk; 978-3-642-38871-2/ebook). xviii, 307 p. (2014).
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Differential Galois theory and non-integrability of Hamiltonian systems. Reprint of the 1999 original. (English) Zbl 1295.37015

Modern Birkhäuser Classics. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0720-3/pbk; 978-3-0348-0723-4/ebook). xiv, 167 p. (2013).
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A reduction method for higher order variational equations of Hamiltonian systems. (English) Zbl 1243.37048

Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 1-15 (2011).
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Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations. (English) Zbl 1229.65133

Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-13658-7/pbk). London Mathematical Society Lecture Note Series 381, 292-341 (2011).
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Integrability of dynamical systems through differential Galois theory: a practical guide. (English) Zbl 1294.37024

Acosta-Humánez, Primitivo B. (ed.) et al., Differential algebra, complex analysis and orthogonal polynomials. Jairo Charris Seminar 2007–2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4886-9/pbk). Contemporary Mathematics 509, 143-220 (2010).
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Density problem of monodromy representation of Fuchsian systems. (English) Zbl 1182.32006

Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 347-355 (2009).
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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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Non-integrability criteria by means of the Galois groups of variational equations: recent results and works in progress. (English) Zbl 1181.37083

Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 249-252 (2006).
MSC:  37J30 34C20
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The group of linear total differential Hamiltonian systems and strong stability of its stationary and periodic elements. (English. Russian original) Zbl 1127.37044

Differ. Equ. 42, No. 6, 779-788 (2006); translation from Differ. Uravn. 42, No. 6, 34 70 (2006).
MSC:  37J25 37J05 34A30 34D05
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Applied equivariant degree. (English) Zbl 1123.47043

AIMS Series on Differential Equations and Dynamical Systems 1. Springfield, MO: American Institute of Mathematical Sciences (ISBN 978-1-60133-001-7/hbk). xxiii, 552 p. (2006).
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Comparison of symmetry preserving difference schemes with standard numerical methods. (English) Zbl 1081.65073

Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 119-131 (2005).
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