Geodesic
On solution of some differential equations of mechanics by operating method
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2013), pp. 3-9 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Application of an operating method to the solution of Cauchy problem for heterogeneous differential equation of $n$-degree is considered. The formula of this aquation general integral is obtained. Тhe operating method is also used for solving boundary-value problems of mechanics of solids. It appears very effective in analytical examination of bend and stability of elastic-prismatic rods. Bibliogr. 6. Il. 2.
Keywords: differential equation, operating method, Cauchy problem, boundary-value problems, bend and stability of rods. 
@article{VSPUI_2013_4_a0,
     author = {Yu. M. Dahl},
     title = {On solution of some differential equations of mechanics by operating method},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {3--9},
     year = {2013},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2013_4_a0/}
}
TY  - JOUR
AU  - Yu. M. Dahl
TI  - On solution of some differential equations of mechanics by operating method
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2013
SP  - 3
EP  - 9
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2013_4_a0/
LA  - ru
ID  - VSPUI_2013_4_a0
ER  - 
%0 Journal Article
%A Yu. M. Dahl
%T On solution of some differential equations of mechanics by operating method
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2013
%P 3-9
%N 4
%U http://geodesic.mathdoc.fr/item/VSPUI_2013_4_a0/
%G ru
%F VSPUI_2013_4_a0
Yu. M. Dahl. On solution of some differential equations of mechanics by operating method. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2013), pp. 3-9. http://geodesic.mathdoc.fr/item/VSPUI_2013_4_a0/

[1] Sveshnikov A. G., Tihonov A. N., Theory of the functions of complex variable, Nauka, M., 1970, 304 pp. | MR

[2] Jeffreys H., Swirles B., Methods of mathematical physics, 3 issue, per. s angl., v. 1, ed. V. N. Charkov, Mir, M., 1969, 424 pp.

[3] Beitman H., Erdelyi A., Tables of integral transforms, Per. s angl. N. Ja. Vilenkina, v. 1, Nauka, M., 1969, 344 pp.

[4] Ditkin V. A., Kuznetcov P. I., Reference book of operation calculus, Gostehteoretgiz, M., 1951, 256 pp.

[5] Lavrentiev M. A., Shabat B. V., Methods of theory of the functions of complex variable, Nauka, M., 1969, 736 pp. | MR

[6] Rabotnov Y. N., The resistance of materials, Fizmatgiz, M., 1963, 456 pp. | Zbl