Solutions in Cones

Klaus Deimling
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Klaus Deimling: Gesamthochschule Paderborn

Chapter Chapter 6 in Nonlinear Functional Analysis, 1985, pp 217-255 from Springer

Abstract: 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.

Keywords: Banach Space; Mild Solution; Banach Lattice; Conical Shell; Order Interval (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-3-662-00547-7_6

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