Buckling of a critically tapered rod: global bifurcation

DOI10.1098/RSPA.2002.1092zbMath1065.47067OpenAlexW1992171349MaRDI QIDQ4739647

G. Vuillaume, Charles A. Stuart

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2002.1092

zbMATH Keywords

bifurcationessential spectrumEuler elastica

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation and buckling (74G60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory to differential and integral equations (47N20) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (5)

Oscillations in a semi-linear singular Sturm–Liouville equation ⋮ Bifurcation points of a singular boundary-value problem on \((0,1)\) ⋮ Bifurcation analysis of a singular nonlinear Sturm–Liouville equation ⋮ Bifurcation without Fréchet differentiability at the trivial solution ⋮ Bifurcation points of a degenerate elliptic boundary-value problem

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