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Topological Degree in Infinite Dimensions

In: Nonlinear Functional Analysis

Author

Listed:
  • Klaus Deimling

    (Gesamthochschule Paderborn)

Abstract

Mathematical models for a large number of problems in science lead to equations F x = y in infinite-dimensional spaces rather than to the finite systems of equations considered in the first chapter. In particular, all kinds of differential equations, integral equations, integro-differential equations etc. can be formulated this way on usually infinite-dimensional spaces of functions.

Suggested Citation

  • Klaus Deimling, 1985. "Topological Degree in Infinite Dimensions," Springer Books, in: Nonlinear Functional Analysis, chapter 0, pages 35-94, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-00547-7_2
    DOI: 10.1007/978-3-662-00547-7_2
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