Local bifurcation from characteristic values with finite multiplicity and its application to axisymmetric buckled states of a thin spherical shell

DOI10.1080/00036819208840125zbMath0797.34009OpenAlexW1973582722MaRDI QIDQ4291587

Nguyen Xuan Tan

Publication date: 13 October 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840125

zbMATH Keywords

Banach spacesnormed spaceFredholm operatorparameternonlinear mappinguniform compression

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcation and buckling (74G60) Nonlinear differential equations in abstract spaces (34G20) Membranes (74K15)

Cites Work

• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• Existence and stability of axisymmetric buckled states of spherical shells
• Bifurcation and stability for a class of shells
• Loss of stability and bifurcation at a double eigenvalue
• Branching of solutions of an equation in Hilbert space
• Bifurcation from simple eigenvalues
• An Analytical Approach to Bifurcation Problems with Applications to Partial Differential Equations
• Bifurcation of axisymmetric buckled states of a thin spherical shell
• Axisymmetric buckling of hollow spheres and hemispheres
• Zur Lösung eines Bifurkationsproblems für die KARMANschen Gleichungen im Fall der rechteckigen Platte

This page was built for publication: Local bifurcation from characteristic values with finite multiplicity and its application to axisymmetric buckled states of a thin spherical shell