Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
We consider a nonlinearizable eigenvalue problem for the beam equation with an indefinite weight function. We investigate the structure of bifurcation set and study the behavior of connected components of the solution set bifurcating from the line of trivial solutions and contained in the classes of...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2017-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5997 |
Summary: | We consider a nonlinearizable eigenvalue problem for the beam equation with an indefinite weight function. We investigate the structure of bifurcation set and study the behavior of connected components of the solution set bifurcating from the line of trivial solutions and contained in the classes of positive and negative functions. |
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ISSN: | 1417-3875 |