Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term

الملخص EN

We study the global bifurcation of the differential inclusion of the form −(ku′)′+g(⋅,u)∈μF(⋅,u), u′(0)=0=u′(1), where F is a “set-valued representation” of a function with jump discontinuities along the line segment [0,1]×{0}.

The proof relies on a Sturm-Liouville version of Rabinowitz's bifurcation theorem and an approximation procedure.