Structure of integrals of equations of oscillations of a conical shell closed at a vertex

  • V. A. Trotsenko Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev
  • Yu. V. Trotsenko Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev

Abstract

We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest derivative and equations with a regular singular point, we establish the formal structure of regular integrals of the original equations.

Author Biography

Yu. V. Trotsenko , Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev
 

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Published
17.10.2021
How to Cite
Trotsenko V. A., and Trotsenko Y. V. “Structure of Integrals of Equations of Oscillations of a Conical Shell Closed at a Vertex”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 10, Oct. 2021, pp. 1414-22, doi:10.37863/umzh.v73i10.6702.
Section
Research articles