On the exact multiplicity of solutions for boundary-value problems via computing the direction of bifurcations

We consider positive solutions of the Dirichlet problem $$displaylines{ u''(x)+lambda f(u(x))=0quadhbox{in }(-1,1), cr u(-1)=u(1)=0.}$$depending on a positive parameter $lambda $. We use two formulas derived in [18] to compute all solutions $u$ where a turn may occur and tocompute the dire...

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Bibliographic Details
Main Authors: Joaquin Rivera, Yi Li
Format: Article
Language:English
Published: Texas State University 2007-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/15/r1/abstr.html