Multiple equilibria of elastic strings under central forces: Highly singular nonlinear boundary value problems of the Bernoullis

DOI10.1016/0022-0396(83)90033-5zbMath0467.73030OpenAlexW1983591672MaRDI QIDQ1155981

Stuart S. Antman, Peter Wolfe

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90033-5

zbMATH Keywords

stringssingular solutionsregularLeray-Schauder degree theorycentral forceshighly singularinfinite at their centermultiplicity of equilibrium statesnon-radialproblems of Bernoullispurely radialsolutions of two types

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20)

Cites Work

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• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• The implicit function theorem and the global methods of cohomology
• Collision orbits in the anisotropic Kepler problem
• Some aspects of nonlinear eigenvalue problems
• Multiple Equilibrium States of Nonlinearly Elastic Strings
• Large buckled states of rotating rods
• The Nonlinear String Under a Vertical Force

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