scientific article; zbMATH DE number 550001

zbMath0793.34037MaRDI QIDQ4287521

S. M. Bauer, Petr E. Tovstik, Andreĭ Leonidovich Smirnov, Sergei B. Filippov

Publication date: 6 May 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

surveystabilityasymptotic expansionsmall parameterboundary value problemsbucklingasymptotic methodsLyapunov-Schmidt methodboundary eigenvalue problemsLaplace's methodVishik-Lyusternik methodshell vibrationsasymptotic integration of partial differential equationsequations with turning pointsindex of variationsingular degeneracythin shells and platestwo-dimensional shell theoriesVasil'eva method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Shells (74K25) Membranes (74K15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (4)

On the improved Kirchhoff equation modelling nonlinear vibrations of beams ⋮ Mathematical model for the bending of plastically anisotropic beams ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Stability and low-frequency oscillations of thin shells with entirely or partially negative Gaussian curvature

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