Fixed Points in a Cone

Robert F. Brown

Chapter Chapter 17 in A Topological Introduction to Nonlinear Analysis, 2014, pp 119-124 from Springer

Abstract: 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.

Keywords: Reaction Rate Function; Fixed Point Index; Tubular Reactor Model; Previous Chapter; Additional Conditions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11794-2_17

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DOI: 10.1007/978-3-319-11794-2_17

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