Inverse spectral problems for nonlinear Sturm-Liouville problems

This paper concerns the nonlinear Sturm-Liouville problem $$ -u''(t) + f(u(t)) = lambda u(t), quad u(t) > 0, quad t in I := (0, 1), quad u(0) = u(1) = 0, $$ where $lambda $ is a positive parameter. We try to determine the nonlinear term $f(u)$ by means of the global behavior of the bi...

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Bibliographic Details
Main Author: Tetsutaro Shibata
Format: Article
Language:English
Published: Texas State University 2007-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/74/abstr.html