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Solutions in Cones

In: Nonlinear Functional Analysis

Author

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  • Klaus Deimling

    (Gesamthochschule Paderborn)

Abstract

As a rule, the ‘user’ of mathematical models for problems in science wants to see some additional conditions satisfied before he is willing to call what you have found by purely mathematical reasoning a solution. In many cases nonnegativity is such a minimal requirement. Think for example of concentrations in biological or chemical problems, or of problems where the ‘laws of nature’ prescribe definite lower bounds for the unknowns, so that a fixed shift makes the latter nonnegative.

Suggested Citation

  • Klaus Deimling, 1985. "Solutions in Cones," Springer Books, in: Nonlinear Functional Analysis, chapter 0, pages 217-255, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-00547-7_6
    DOI: 10.1007/978-3-662-00547-7_6
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