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

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.

UDC: 539.3

Received: May 30, 2013