Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of the stability dynamics of circular cylindrical shells

DOI10.1007/s10958-022-05751-wzbMath1491.74049OpenAlexW4220825173WikidataQ115382105 ScholiaQ115382105MaRDI QIDQ2122462

S. P. Pafyk

Publication date: 6 April 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05751-w

zbMATH Keywords

asymptotic methodNewton diagramfundamental matrix representation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25)

Cites Work

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• Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil
• On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
• Asymptotic analysis of the general solution of a linear singularly perturbed system of higher-order differential equations with degenerations
• Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads.
• Asymptotics of the general solution of a linear singularly perturbed system of higher-order differential equations with degenerations

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