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A Class of Operator Equations in Nonlinear Mechanics |
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| Authors: | Norman W. Bazley Richard J. Weinacht R. P. Gilbert |
| Affiliation: | Institut für Angewandte Mathematik , Universit?t Erlangen-Nürnberg , Erlangen, D-8520, German |
| Abstract: | A nonlinear evolution equation in Hilbert space is introduced and is shown to govern a broad class of problems of nonlinear solid mechanics. The simplest oscillations of this equation are described by a “generalized Liénard equation.” AMS(MOS) Classification Nos: 73D35, 73F15, 58D25, 35L35, 34G20, 34C15. |
| Keywords: | Helmholtz equation variational solution boundary integral equations parallel surfaces |