We consider a system of differential equations that describes free oscillations of a thin-walled conic shell of revolution with vertex. On the basis of the analytic theory of systems of differential equations with small parameter at the highest derivative and equations with regular singular point, we establish the formal structure of regular integrals of the original equations.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 10, pp. 1414–1422, October, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i10.6702.
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Trotsenko, V.A., Trotsenko, Y.V. Structure of the Integrals of Equations of Vibration for a Conic Shell Closed at the Vertex. Ukr Math J 73, 1633–1642 (2022). https://doi.org/10.1007/s11253-022-02019-z
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DOI: https://doi.org/10.1007/s11253-022-02019-z