Bifurcation from zero or infinity in nonlinearizable Sturm-Liouville problems with indefinite weight

Aliyev Ziyatkhan S. and Nasirova Leyla V.: Bifurcation from zero or infinity in nonlinearizable Sturm-Liouville problems with indefinite weight. (2021)

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Abstract

In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic population. We show the existence of four families of unbounded continua of nontrivial solutions to this problem bifurcating from intervals of the line of trivial solutions or the line R × {∞} (these intervals are called bifurcation intervals). Moreover, these global continua have the usual nodal properties in some neighborhoods of bifurcation intervals.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 55
ISSN: 1417-3875
Number of Pages: 16
Language: English
DOI: 10.14232/ejqtde.2021.1.55
Uncontrolled Keywords: Differenciálegyenlet, Bifurkáció
Additional Information: Bibliogr.: p. 14-16. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 07:59
Last Modified: 2021. Nov. 11. 07:59
URI: http://acta.bibl.u-szeged.hu/id/eprint/73707

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