Tretter, Christiane (2000) On buckling problems. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 80 (9). pp. 633-639. ISSN 0044-2267
Full text not available from this repository.Abstract
The buckling problem for a column of unit length and volume leads to the differential equation -(py ")" = lambda y " on a finite interval with various sets of boundary conditions. In, this paper completeness, minimality, and basis theorems are proved for the corresponding eigenfunctions (and associated functions). These results are established by a self-adjoint approach in the Sobolev space W-2(2)(0, 1) provided the boundary conditions are symmetric, and by a more general non-self-adjoint approach in me spaces W-2(k)(0, 1), k = 0, 1,..., 4. A new observation is that e.g. in the case of Dirichlet boundary conditions the eigenfunctions satisfy two additional boundary conditions of order 3.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ORDINARY DIFFERENTIAL-OPERATORS; N-LAMBDA-P; buckling problems; completeness; Riesz basis; columns |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 May 2022 09:58 |
| Last Modified: | 31 May 2022 09:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43065 |
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