Direct and inverse bifurcation problems for non-autonomous logistic equations

We consider the semilinear eigenvalue problem $$displaylines{ -u''(t) + k(t)u(t)^p = lambda u(t), quad u(t) > 0, quad t in I := (-1/2, 1/2), cr u(-1/2) = u(1/2) = 0, }$$ where p > 1 is a constant, and $lambda > 0$ is a parameter. We propose a new inverse bifurcation proble...

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Bibliographic Details
Main Author: Tetsutaro Shibata
Format: Article
Language:English
Published: Texas State University 2013-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/117/abstr.html