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Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation

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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  15. 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
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