Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2013, Issue 4, Pages 3–9 (Mi vspui150)  
Applied mathematics

On solution of some differential equations of mechanics by operating method

Yu. M. Dahl

St. Petersburg State University, 199034 St. Petersburg, Russian Federation
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Abstract: 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.
Received: May 30, 2013
Document Type: Article
UDC: 539.3
Language: Russian
Citation: Yu. M. Dahl, “On solution of some differential equations of mechanics by operating method”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 4, 3–9
Citation in format AMSBIB
\Bibitem{Dal13}
\by Yu.~M.~Dahl
\paper On solution of some differential equations of mechanics by operating method
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2013
\issue 4
\pages 3--9
\mathnet{http://mi.mathnet.ru/vspui150}
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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