Periodic solutions of nonlinear vibrating beams

DOI10.1155/S1085337503301022zbMath1074.35084MaRDI QIDQ1773471

Vesa Mustonen, Herbert Leinfelder, Juha Berkovits

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51751

zbMATH Keywords

suspension bridgeBanach fixed-point theoremLeray-Schauder degreeexistence and multiplicity of periodic solutionshomotopy argument

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

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