A method of studying the existence of nontrivial solutions to some classes of operator equations with an application to resonance problems in mechanics

DOI10.1016/0362-546X(94)E0068-RzbMath0863.47048OpenAlexW2021315406MaRDI QIDQ4842109

Sergey A. Vavilov

Publication date: 3 June 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)e0068-r

zbMATH Keywords

boundary value problemsgeneralized eigenvalue problemparametric resonancemapping degreeresonance problemsaction of longitudinal inhomogeneous compressionstability of a closed circular cylindrical shell

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Membranes (74K15)

Related Items

Bifurcation from simple eigenvalues for functional-differential equations ⋮ Adapting wing elements (``feathers) of an airplane in a turbulent flow with a multiagent protocol ⋮ The study of parametric excitation in a stretched string ⋮ Классическая теорема Ляпунова для дифференциальных уравнений в гильбертовых пространствах

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Koiter's stability theory in a computer-aided engineering (CAE) environment
• Collapse of axially compressed cylindrical shells with random imperfections
• Coincidence Index and Multiplicity
• Multiplicity and bifurcation of periodic solutions in ordinary differential equations