Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615851 | Journal of Mathematical Analysis and Applications | 2014 | 7 Pages |
Abstract
We consider the nonlinear eigenvalue problem arising in population dynamics:âuâ³(t)+f(u(t))=λu(t),u(t)>0,tâI:=(0,1),u(0)=u(1)=0, where λ>0 is a parameter, f(u)=up+g(u) (p>1) and g(u) is assumed to be an unknown nonlinear term. The purpose of this paper is to study the inverse bifurcation problem in L1-framework. More precisely, we suppose that g(u) has compact support in [0,â), and the precise global behavior of the L1-bifurcation curve of the equation is given. Then we show that g(u)â¡0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tetsutaro Shibata,