On the topological structure of the set of generalized solutions of the catenary problem

DOI10.1017/S0308210500013500zbMath0568.73063MaRDI QIDQ3685327

James C. Alexander, Reeken, Michael

Publication date: 1984

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

zbMATH Keywords

tensioncompressionHausdorff topologyfixed-point transferglobal topological structurespace of configurationsmeasurable subset of the intervalnon-rotating elastic stringnot Euclideansolutions form infinite-dimensional continuum over this parameter spacestring at rest under gravity

Mathematics Subject Classification ID

Continuous maps (54C05) Fairly general properties of topological spaces (54D99) Strings (74K05)

Related Items (4)

The global structure of the zero set of a family of semilinear Fredholm maps ⋮ On the multiplicity of solutions to Marguerre--von Kármán membrane equations ⋮ Unnamed Item ⋮ The rotating string

Cites Work

• Unnamed Item
• The rotating string
• The fixed point transfer of fiber-preserving maps
• Multiple Equilibrium States of Nonlinearly Elastic Strings

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