Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications

Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications

We study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Neumann–Robin boundary value problem \begin{equation*} \begin{cases} u^{\prime \prime }(x)+\lambda f(u(x))=0,\quad 0<x<1,\\ u^{\prime }(0)=0\text{ and }u^{\prime }(1)+\alpha u(1)=0, \e...

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Bibliographic Details
Main Authors: Chi-Chao Tsai, Shin-Hwa Wang, Shao-Yuan Huang
Format: Article
Language:English
Published: University of Szeged 2018-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
bifurcation
multiplicity
positive solution
neumann–robin problem
$s$-shaped bifurcation curve
$\subset$-shaped bifurcation curve
time map
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6660

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6660

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