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Degree Theory and Fixed Point Theory

  • Leszek Gasiński
  • Nikolaos S. Papageorgiou
Chapter
Part of the Problem Books in Mathematics book series (PBM)

Abstract

Degree theory deals with equations of the form \(\varphi (u) = h\) on a space X (finite of infinite dimensional). It addresses the questions of existence, uniqueness, or multiplicity of solutions and their distribution in the space. Moreover, it examines how sensitive are these properties to variations of \(\varphi\) and h.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Leszek Gasiński
    • 1
  • Nikolaos S. Papageorgiou
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceJagiellonian UniversityKrakówPoland
  2. 2.Department of MathematicsNational Technical UniversityAthensGreece

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