The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen

Full-Text PDF (1001 KB) | Metadata | Table of Contents | ZAA summary
Volume 16, Issue 4, 1997, pp. 945–960
DOI: 10.4171/ZAA/798

Published online: 1997-12-31

A Nonlinear Beam Equation Arising in the Theory of Elastic Bodies

Karl Doppel[1], W. Herfort[2] and K. Pflüger[3]

(1) Freie Universität Berlin, Germany
(2) Freie Universität Berlin, Germany
(3) TU Wien, Austria

We study the global solvability of a nonlinear Cauchy problem, which arises in the theory of oscillations in elastic bodies. We show that the linearized problem defines a contraction semigroup, which is then used to transform the Cauchy problem into an integral equation. Finally, it is shown that the corresponding integral operator has a unique fixed point, which gives rise to a global solution of the original nonlinear problem.

Keywords: Nonlinear beam equations, global solvability, oscillations in elastic bodies, fixed point methods

Doppel Karl, Herfort W., Pflüger K.: A Nonlinear Beam Equation Arising in the Theory of Elastic Bodies. Z. Anal. Anwend. 16 (1997), 945-960. doi: 10.4171/ZAA/798