A nonlinear beam equation arising in the theory of elastic bodies

DOI10.4171/ZAA/798zbMath0902.35066OpenAlexW2034050344MaRDI QIDQ1381108

K. Doppel, K. Pflüger, Wolfgang N. Herfort

Publication date: 9 September 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/798

zbMATH Keywords

global solvabilitycontraction semigroupsinitial and boundary value problemsfixed point methodsnonlinear beam equationsoscillation in elastic bodies

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear elasticity (74B20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

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Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ Existence results for a model of nonlinear beam on elastic bearings

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