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On Buckling Problems

Name: On Buckling Problems
Creator: Christiane Tretter
Keywords: completeness of eigenfunctions, General theory of ordinary differential operators, buckling, columns, Rods (beams, columns, shafts, arches, rings, etc.), Riesz basis, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators

On buckling problems

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2000Publisher:WileyJournal:ZAMM, volume 80, pages 633-639 (issn: 0044-2267, eissn: 1521-4001,

Authors: Christiane Tretter;

doi: 10.1002/1521-4001(200009)80:9<633::aid-zamm633>3.0.co;2-1

On Buckling Problems

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Abstract

The author proves completeness, minimality and basis theorems for the eigenfunctions (and associated functions, if any) of \(-(py'')''=\lambda y''\), with various boundary conditions arising in the theory of buckling of columns. As well as a selfadjoint theory (for symmetric boundary conditions) in the Sobolev space \(W_2 ^2 (0,1)\), a nonselfadjoint theory is developed in the spaces \(W_2 ^k (0,1)\), for \(k=0,1,2,3,4.\)

Related Organizations

University of Regensburg
Germany

Keywords

completeness of eigenfunctions, General theory of ordinary differential operators, buckling, columns, Rods (beams, columns, shafts, arches, rings, etc.), Riesz basis, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators

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