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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

FUNCTIONAL SIMILARITY METHOD APPLICABLE AS A SOLUTION TO SOME LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Vestnik MGSU 2/2012
  • Vardanjan Gumedin Surenovich - Central Scientific Research Institute for Building Structures named after V.A. Kucherenko (V.A. Kucherenko CSRIBS) Doctor of Technical Sciences, Professor, Honoured Scholar of the Russian Federation, Awardee of the USSR State Prize Chief Researcher, Central Scientific Research Institute for Building Structures named after V.A. Kucherenko (V.A. Kucherenko CSRIBS), 6 2nd Institutskaja St., Moscow, 109428, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 91 - 97

The functional similarity method applicable for the simulation of various physical processes is considered in the proposed paper. A solution to some linear differential equations with variable coefficients is provided. The aforementioned equations are widely used as part of solutions to problems of mechanics of deformable solid bodies.

DOI: 10.22227/1997-0935.2012.2.91 - 97

References
  1. Vardanjan G.S. Metody podobija i razmernostej v mehanike deformiruemogo tverdogo tela [Similarity And Dimensional Methods In Mechanics of Deformable Solid Bodies]. VESTNIK CNIISK im. V.A. Kucherenko, Moscow, 2009, Issue # 1, pp. 19—66.
  2. Vardanjan G.S. O reshenii nekotoryh linejnyh differencial'nyh uravnenij s peremennymi kojefficientami metodom funkcional'no podobija [The Functional Similarity Method Solution for Some Linear Differential Equations with Variable Coefficients]. Tr. mezhdunarodnogo kongressa po primeneniju matematiki v tehnicheskih naukah [Works of International Congress on the Application of Mathematics in Technical Sciences], Issue # 4, Weimar, 1990.

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