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Fixed Points in a Cone

In: A Topological Introduction to Nonlinear Analysis

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  • Robert F. Brown

Abstract

In this chapter, we will use the fixed point index to show that functions that satisfy certain conditions must have at least two or at least three fixed points. That will lead us to the conclusion that, for some reaction rate functions r, the chemical reaction in the tubular reactor that we discussed in the previous chapter must have at least two or, under an additional condition, at least three steady state temperature functions y(t) for the chemical reaction.

Suggested Citation

  • Robert F. Brown, 2014. "Fixed Points in a Cone," Springer Books, in: A Topological Introduction to Nonlinear Analysis, edition 3, chapter 0, pages 119-124, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-11794-2_17
    DOI: 10.1007/978-3-319-11794-2_17
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