The equations of the motions of a solid with the simple integrals are researched, using the method of the small parameter.
[1] Bogolyubov N.N., Mitropolsky Yu.A. Asymptotic methods in the theory of nonlinear oscillations. - M.: Nauka, 1974. - 501 p.
[2] Bogolyubov N.N., Samoylenko A.M. Asymptotic study of weakly nonlinear oscillatory systems. - Kyiv, 1976. - 74. (Preprint / Academy of Sciences of the Ukrainian SSR. Institute of Mathematics; 76.5).
[3] Golubev V.V. Lectures on the integration of the equations of motion of a rigid body about a fixed point. - M: State Publishing House of Technical and Theoretical Literature, 1953. - 287 p.
[4] Migutsa D.O. Investigation of gyrostat motion relative to non-principal inertia axes using Kolosov variables / / Scientific Bulletin of Chernivtsi University: Collection of scientific works. Issue 150. Mathematics. - Chernivtsi: Ruta, 2002. - p. 59-62.
[5] Migutsa D.O. Investigation of rigid body motion in non-principal inertia axes by the small parameter method / / Boundary-value problems for differential equations: 3b. scientific pr. - K.: Institute of Mathematics of the National Academy of Sciences of Ukraine, 2002. Issue 5. - p. 225 - 234.
- ACS Style
- Mihutsa, D.O. Investigation of equations with single-valued integrals of the motion of a rigid body relative to the principal axes of inertia. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Mihutsa DO. Investigation of equations with single-valued integrals of the motion of a rigid body relative to the principal axes of inertia. Bukovinian Mathematical Journal. 2018; 1(485).
- Chicago/Turabian Style
- Dmytro Oleksiyovych Mihutsa. 2018. "Investigation of equations with single-valued integrals of the motion of a rigid body relative to the principal axes of inertia". Bukovinian Mathematical Journal. 1 no. 485.