Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/43C645D4-4ABE-436F-B9A1-E0529D58DC57 | ||
| Year | 1996 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | G. E. Stavroulakis, D. Goeleven, P. D. Panagiotopoulos ," Stability of elastic bodies with nonmonotone multivalued boundary conditions of the quasidifferential type," J. of elasticity ,vol. 41 ,no. 2 ,pp. 137-149.1995.doi:10.1007/BF00042511 https://doi.org/10.1007/BF00042511 | ||
| Appears in Collections |
Necessary conditions for the stability of elastic bodies subjected to nonmonotone multivalued boundary conditions are derived. These conditions are assumed to be derived from nonconvex and nonsmooth, quasidifferentiable energy functions. A ‘difference convex’ approximation of the potential energy function is written based on an appropriate quasidifferential formulation. Under appropriate assumptions for the convex and the concave parts we prove the existence of at least one nontrivial solution to the nonlinear eigenvalue problem.
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