文章基本信息

标题：Reversed S-Shaped Bifurcation Curve for a Neumann Problem
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作者：Hui Xing ; Hongbin Chen ; Ruofei Yao 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2018
卷号：2018
DOI：10.1155/2018/5376075
出版社：Hindawi Publishing Corporation
摘要：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.