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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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:	nonlinear eigenvalue problem bifurcation point principal eigenvalues global continua indefinite weight
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5997

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record_format	Article
spelling	doaj-734f14341b064a6c97b9fc24fd9709382021-07-14T07:21:30ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-12-0120179211210.14232/ejqtde.2017.1.925997Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weightZiyatkhan Aliyev0Rada Huseynova1Department of Mathematical Analysis, Baku State University, Baku, AzerbaijanInstitute of Mathematics and Mechanics NAS of Azerbaijan, Baku, AzerbaijanWe 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5997nonlinear eigenvalue problembifurcation pointprincipal eigenvaluesglobal continuaindefinite weight
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ziyatkhan Aliyev Rada Huseynova
spellingShingle	Ziyatkhan Aliyev Rada Huseynova Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight Electronic Journal of Qualitative Theory of Differential Equations nonlinear eigenvalue problem bifurcation point principal eigenvalues global continua indefinite weight
author_facet	Ziyatkhan Aliyev Rada Huseynova
author_sort	Ziyatkhan Aliyev
title	Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
title_short	Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
title_full	Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
title_fullStr	Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
title_full_unstemmed	Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
title_sort	bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2017-12-01
description	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.
topic	nonlinear eigenvalue problem bifurcation point principal eigenvalues global continua indefinite weight
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5997
work_keys_str_mv	AT ziyatkhanaliyev bifurcationinnonlinearizableeigenvalueproblemsforordinarydifferentialequationsoffourthorderwithindefiniteweight AT radahuseynova bifurcationinnonlinearizableeigenvalueproblemsforordinarydifferentialequationsoffourthorderwithindefiniteweight
_version_	1721303478486171648

Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight

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