| Title:
|
Sophus Lie a harmonie v matematické fyzice (k 150. výročí narození) (Czech) |
| Title:
|
Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth (English) |
| Author:
|
Ibragimov, Nail H. |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
192-208 |
| . |
| Category:
|
physics |
| . |
| MSC:
|
01A55 |
| MSC:
|
01A60 |
| MSC:
|
17B81 |
| MSC:
|
22-03 |
| MSC:
|
22E70 |
| MSC:
|
35A30 |
| MSC:
|
35Q72 |
| idZBL:
|
Zbl 0830.01013 |
| idMR:
|
MR1309410 |
| Note:
|
From The Mathematical Intelligencer 16 (1994), No. 1, 20-28. translated and annotated O. Kowalski. (English) |
| Note:
|
Z The Mathematical Intelligencer 16 (1994), č. 1, 20-28. přeložil a upravil O. Kowalski. (Czech) |
| . |
| Date available:
|
2010-12-11T12:22:51Z |
| Last updated:
|
2012-08-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/139454 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] Ibragimov, N. H.: Transformation groups Applied to Mathematical Physics.Dordrecht: D. Reidel (1985). Zbl 0558.53040, MR 0785566 |
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[10] Ibragimov, N. H.: Primer on the Group Analysis.Moscow: Znanie (1989). MR 1063482 |
| Reference:
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[11] Ibragimov, N. H.: Essays in the Group Analysis of Ordinary Differential Equations.Moscow: Znanie (1991). MR 1125762 |
| Reference:
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[12] Ibragimov, N. H.: Group analysis of ordinary differential equations and new observations in mathematical physics.Uspechi Mat. Nauk, to appear. MR 1279026 |
| Reference:
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[13] Klein, F.: Theorie der Transformationsgruppen B. III, Pervoe prisuzhdenie premii N. I. Lobachevskogo, 22 okt. 1897 goda.Kazan: Tipo-litografiya Imperatorskogo Universiteta (1898), pp. 10–28. |
| Reference:
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[14] Laplace, P. S.: Mécanique céleste.T. I. Livre 2, Chap. III (1799). |
| Reference:
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[15] Lie, S.: Über die Integration durch bestimmte Integrale von einer Klasse linearer partieller Differentialgleichungen.Arch. for. Math. VI (1881). |
| Reference:
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[16] Lie, S.: Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen $x$, $y$, die eine Gruppe von Transformationen gestatten.Arch. Math. VIII, 187–453 (1883). |
| Reference:
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| Reference:
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[18] Lie, S.: Die infinitesimalen Berührungstransformationen der Mechanik.Leipz. Ber. (1889). |
| Reference:
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| Reference:
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[20] Lie, S.: Zur allgemeinen Theorie der partiellen Differentialgleichungen beliebiger Ordnung.Leipz. Ber. I, 53–128 (1895). |
| Reference:
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| Reference:
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| Reference:
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[23] Olver, P. J.: Applications of Lie groups to Differential Equations.New York: Springer-Verlag (1986). Zbl 0588.22001, MR 0836734 |
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| Reference:
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[25] Ovsjanikov, L. V.: Group Analysis of Differential Equations.Boston: Academic Press (1982). MR 0668703 |
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[29] Purkert, W.: Zum Verhältnis von Sophus Lie und Friedrich Engel.Wiss. Zeitschr. Ernst-Moritz-Arndt-Universität Greifswald, Math.-Naturwiss. Reihe XXXIII, Heft 1–2, 29–34 (1984). Zbl 0558.01020, MR 0836342 |
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| . |
