Book 2014

A Topological Introduction to Nonlinear Analysis

Authors:

ISBN: 978-3-319-11793-5 (Print) 978-3-319-11794-2 (Online)

Table of contents (25 chapters)

previous Page of 2
  1. Front Matter

    Pages i-x

  2. Fixed Point Existence Theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-7

      The Topological Point of View

    3. No Access

      Chapter

      Pages 9-17

      Ascoli–Arzela Theory

    4. No Access

      Chapter

      Pages 19-23

      Brouwer Fixed Point Theory

    5. No Access

      Chapter

      Pages 25-31

      Schauder Fixed Point Theory

    6. No Access

      Chapter

      Pages 33-42

      The Forced Pendulum

    7. No Access

      Chapter

      Pages 43-47

      Equilibrium Heat Distribution

    8. No Access

      Chapter

      Pages 49-53

      Generalized Bernstein Theory

  3. Degree Theory

    1. Front Matter

      Pages 55-55

    2. No Access

      Chapter

      Pages 57-61

      Brouwer Degree

    3. No Access

      Chapter

      Pages 63-69

      Properties of the Brouwer Degree

    4. No Access

      Chapter

      Pages 71-76

      Leray–Schauder Degree

    5. No Access

      Chapter

      Pages 77-86

      Properties of the Leray–Schauder Degree

    6. No Access

      Chapter

      Pages 87-92

      The Mawhin Operator

    7. No Access

      Chapter

      Pages 93-100

      The Pendulum Swings Back

  4. Fixed Point Index Theory

    1. Front Matter

      Pages 101-101

    2. No Access

      Chapter

      Pages 103-107

      A Retraction Theorem

    3. No Access

      Chapter

      Pages 109-112

      The Fixed Point Index

    4. No Access

      Chapter

      Pages 113-118

      The Tubular Reactor

    5. No Access

      Chapter

      Pages 119-124

      Fixed Points in a Cone

    6. No Access

      Chapter

      Pages 125-135

      Eigenvalues and Eigenvectors

  5. Bifurcation Theory

    1. Front Matter

      Pages 137-137

    2. No Access

      Chapter

      Pages 139-141

      A Separation Theorem

    3. No Access

      Chapter

      Pages 143-154

      Compact Linear Operators

previous Page of 2