Nonlinear eigenvalue problems for the whirling of heavy elastic strings

DOI10.1017/S0308210500011707zbMath0434.34015OpenAlexW1980487018MaRDI QIDQ3872781

Stuart S. Antman

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500011707

zbMATH Keywords

nonlinear eigenvalue problemsglobal bifurcation theorySturmian theorybranch bifurcatingminimax variational methodswhirling of heavy elastic strings

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear dynamics in mechanics (70K99) Ordinary differential operators (34L99)

Related Items (3)

The heterogeneous helicoseir ⋮ Nonlinear eigenvalue problems for the whirling of heavy elastic strings, II: new methods of global bifurcation theory ⋮ Large shearing oscillations of incompressible nonlinearly elastic bodies

Cites Work

• Unnamed Item
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• A duality principle for non-convex optimisation and the calculus of variations
• Superlinear Sturm-Liouville problems
• On bifurcation from infinity
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Some aspects of nonlinear eigenvalue problems
• 12.—Spectral Theory of Rotating Chains
• Extent of the Left Branching Solution to Certain Bifurcation Problems
• A NOTE ON BIFURCATION FROM INFINITY
• ASYMPTOTIC LINEARITY AND NONLINEAR EIGENVALUE PROBLEMS
• SOLUTIONS OF LARGE NORM FOR NON-LINEAR STURM-LIOUVILLE PROBLEMS
• Heavy rotating string—a nonlinear eigenvalue problem
• Nonlinear Sturm-Liouville problems

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