Differential Equations and Computational Simulations III

Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 109-117.

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A bifurcation result for Sturm-Liouville problems with a set-valued term

Georg Hetzer

**Abstract:**

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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Georg Hetzer

Department of Mathematics,
Auburn University

Auburn, AL 36849-5310, USA

E-mail address: hetzege@mail.auburn.edu

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