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Abstract
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the linearization of our problem has nontrivial solutions. In fact our proof, based on the concept of the Brouwer degree, gives more, namely that from each bifurcation point there branches off a continuum of solutions.
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Authors (4)
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Nils Waterstraat
- University of Kent School of Mathematics, Statistics and Actuarial Science
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
no. 39,
pages 451 - 463,
ISSN: 1468-1218 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Izydorek M., Janczewska J., Waterstraat N., Zgorzelska A.: Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation// NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. -Vol. 39, (2018), s.451-463
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.nonrwa.2017.07.008
- Verified by:
- Gdańsk University of Technology
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