It is established in this note that
has a multiple bifurcation point at in the sense that infinitely many continua meet at . is a ``set-valued representation'' of a function with jump discontinuities along the line segment . The proof relies on a Sturm-Liouville version of Rabinowitz's bifurcation theorem and an approximation procedure.
Published November 12, 1998.
Mathematics Subject Classification: 34B15, 34C23, 47H04, 86A10.
Key words and phrases: Differential inclusion, Sturm-Liouville problem, Rabinowitz bifurcation.
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