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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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
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
- Bibliography: test
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- Marek Izydorek Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12, 80-233 Gdańsk, Poland izydorek@mif.pg.gda.pl open in new tab
- Anita Zgorzelska Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12, 80-233 Gdańsk, Poland azgorzelska@mif.pg.gda.pl open in new tab
- Verified by:
- Gdańsk University of Technology
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