The Krasnoselskii-Rabinowitz Bifurcation Theorem

Robert F. Brown
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Robert F. Brown: University of California, Department of Mathematics

Chapter 17 in A Topological Introduction to Nonlinear Analysis, 2004, pp 119-131 from Springer

Abstract: Abstract In the previous chapter, we used spectral theory to make a computation of Leray-Schauder degree. For this chapter, which presents the main result of the book, we’ll also need the separation theorem from point-set topology that we proved in Chapter 14. However, we first must introduce a hypothesis that permits us to apply the theory of compact linear operators in a more general, nonlinear, setting.

Date: 2004
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DOI: 10.1007/978-0-8176-8124-1_17

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