Reversed S-Shaped Bifurcation Curve for a Neumann Problem
Joint Authors
Chen, Hongbin
Yao, Ruofei
Xing, Hui
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the bifurcation and the exact multiplicity of solutions for a class of Neumann boundary value problem with indefinite weight.
We prove that all the solutions obtained form a smooth reversed S-shaped curve by topological degree theory, Crandall-Rabinowitz bifurcation theorem, and the uniform antimaximum principle in terms of eigenvalues.
Moreover, we obtain that the equation has exactly either one, two, or three solutions depending on the real parameter.
The stability is obtained by the eigenvalue comparison principle.
American Psychological Association (APA)
Xing, Hui& Chen, Hongbin& Yao, Ruofei. 2018. Reversed S-Shaped Bifurcation Curve for a Neumann Problem. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1152692
Modern Language Association (MLA)
Xing, Hui…[et al.]. Reversed S-Shaped Bifurcation Curve for a Neumann Problem. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1152692
American Medical Association (AMA)
Xing, Hui& Chen, Hongbin& Yao, Ruofei. Reversed S-Shaped Bifurcation Curve for a Neumann Problem. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1152692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152692