A note on simple bifurcation of equilibrium forms of an elastic rod on a deformable foundation

DOI10.1016/j.topol.2023.108570zbMath1530.74024WikidataQ122718422 ScholiaQ122718422MaRDI QIDQ6077865

Marek Izydorek, Joanna Janczewska

Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Brouwer degreebucklingWinkler foundationKrasnosielski theorembifurcation point existence

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Singular dynamics of strongly damped beam equation
• Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
• Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point
• Existence results for a two point boundary value problem involving a fourth-order equation

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