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Appendix. Degree Theory

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)

Abstract

Throughout this section, we take Ω to be a bounded open subset of ℝ n and take cl Ω ∋ × → f(x) ∈ ℝ n to be continuous. We wish to estimate the number of solutions x in cl Ω of the equation
$$f(x) = 0.$$
(1.1)
We shall often be content with demonstrating that there is (at least) one solution. We denote the collection of solutions of (1.1) lying in c152 by f−1 ({0}).

Keywords

Degree Theory Solution Pair Homotopy Invariance Real Normed Space Cofactor Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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