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Abstract
We study bifurcation of equilibrium states of an elastic rod on a two-parameter Winkler foundation. In the article "Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation" [Nonlinear Anal., Real World Appl. 39 (2018) 451-463] the existence of simple bifurcation points was proved by the use of the Crandall-Rabinowitz theorem. In this paper we want to present an alternative proof of this fact based on the Krasnosielski theorem.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
TOPOLOGY AND ITS APPLICATIONS
no. 339,
ISSN: 0166-8641 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Izydorek M., Janczewska J.: A note on simple bifurcation of equilibrium forms of an elastic rod on a deformable foundation// TOPOLOGY AND ITS APPLICATIONS -Vol. 339,iss. Part A (2023), s.108570-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.topol.2023.108570
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
- M. Izydorek,
- J. Janczewska,
- N. Waterstraat
- + 1 authors
2018