Bifurcation in a Quasilinear Variational Problem on a One-Dimensional Manifold |
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| Authors: | P. Vyridis |
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| Affiliation: | (1) Department of Applied Mathematics, University of Craiova, 13, Al.I.Cuza st., Craiova, 1100, Romania |
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| Abstract: | Necessary and sufficient conditions for bifurcation in a variational problem on a one-dimensional closed manifold are obtained. In local coordinates, this problem corresponds to a semilinear 4th-order differential equation and can be regarded as a model equation of problems in the theory of shells. Bibliography: 5 titles. |
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