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...

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Bibliographic Details
Main Authors: Ziyatkhan Aliyev, Rada Huseynova
Format: Article
Language:English
Published: University of Szeged 2017-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5997
Description
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.
ISSN:1417-3875