|
|
|
References
|
|
|
1. |
Landau L. D., Lifshits E. M., Teoreticheskaya fizika: V 2 t., v. I, Mekhanika, Nauka, M., 1973, 208 pp. |
2. |
Landau L. D., Lifshits E. M., Teoreticheskaya fizika: V 2 t., v. II, Teoriya polya, Nauka, M., 1973, 504 pp. |
3. |
Noether E., “Invariante Variationsprobleme”, Kgl. Ges. Wiss. Nachr. Gottingen. Math.-Physik. Kl. 2, 1918, 235–257 |
4. |
Radaev Yu. N., Gudkov V. A., “O vychislenii nulevykh Lagranzhianov nelineino uprugogo polya”, Vestn. Samar. gos. un-ta. Estestvenno-nauch. ser. Spets. vyp., 2002, 39–56 |
5. |
Maugin G. A., Material Inhomogeneities in Elasticity, Chapman & Hall, L., 1993, 276 pp. |
6. |
Berdichevskii V. L., Variatsionnye printsipy mekhaniki sploshnoi sredy, Nauka, M., 1983, 448 pp. |
7. |
Kurant R., Gilbert D., Metody matematicheskoi fiziki: V 2 t., v. 1, Gostekhteoretizdat, M., L., 1933, 528 pp. |
8. |
Courant R., Hilbert D., Methods of Mathematical Physics, v. 1, Interscience Publishers, N.Y., 1953, 562 pp., Per. na rus. yaz. sm. [6] |
9. |
Gelfand I. M., Fomin S. V., Variatsionnoe ischislenie, Fizmatgiz, M., 1961, 228 pp. |
10. |
Gelfand I. M., Fomin S. V., Calculus of Variations., Revised English ed., eds. R. A. Silverman, Prentice-Hall, Englewood Cliffs, New Jersey, 1963, 232 pp., Originalnoe izdanie sm. [9] |
11. |
Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978, 400 pp. |
12. |
Ibragimov N. Kh., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983, 280 pp. |
13. |
Olver P. J., Application of Lie Groups to Differential Equations, Springer, N.Y., 1986, Per. na rus. yaz. sm. [14] |
14. |
Olver P., Prilozheniya grupp Li k differentsialnym uravneniyam, Mir, M., 1989, 639 pp. |
15. |
Olver P. J., Equivalence, Invariants and Symmetry, Cambridge University Press, Cambridge, N.Y., Melbourne, 1995 |
16. |
Einshtein A., Sobranie nauchnykh trudov: V 4 t., v. 1, Raboty po teorii otnositelnosti, Nauka, M., 1965, 700 pp. |
17. |
Dirak P. A. M., Obschaya teoriya otnositelnosti, Atomizdat, M., 1978, 64 pp. |
18. |
Truesdell C., Toupin R. A., “The Classical Field Theories”, Principles of Classical Mechanics and Field Theory, Part 1, Encyclopedia of Physics, III, ed. S. Flugge, Springer, Berlin, 1960, 226–793 |
19. |
Lure A. I., Nelineinaya teoriya uprugosti, Nauka, M., 1980, 512 pp. |
20. |
Silhavy M., The Mechanics and Thermodynamics of Continuous Media, Springer-Verlag, Berlin, Heidelberg, N.Y., 1997, 506 pp. |
21. |
Bessel-Hagen E., “Uber die Erhaultungssatze der Elektrodynamik”, Math. Ann., 84 (1921), 258–276 |
22. |
Meller K., Teoriya otnositelnosti, Atomizdat, M., 1975, 400 pp. |
23. |
Maugin G. A., “Material forces: Concepts and applications”, Applied Mechanics Reviews, 48 (1995), 213–245 |
24. |
Piola G., “Nuovo analisi per tutti le questioni della meccanica moleculare”, Mem. Mat. Fis. Soc. Ital. Modena, 21 (1835), 155–321 |
25. |
Piola G., “Intorno alle equazioni fondamentali del movimento di corpi qualsivoglioni
considerati secondo la naturale loro forma e costituva”, Mem. Mat. Fis. Soc. Ital. Modena, 24(1) (1848), 1–186 |
26. |
Eshelby J. D., “The Force on an Elastic Singularity”, Phil. Trans. Roy. Soc. L. A, 244 (1951), 87–112 |
27. |
Shvarts L., Analiz: V 2 t., v. II, Mir, M., 1972, 528 pp. |
28. |
Kartan A., Differentsialnoe ischislenie. Differentsialnye formy, Mir, M., 1971, 392 pp. |
29. |
Mak-Konnel A. Dzh., Vvedenie v tenzornyi analiz s prilozheniyami k geometrii, mekhanike
i fizike, Fizmatgiz, M., 1963, 412 pp. |