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Terms vs Positone - What's the difference?

terms | positone |

As a noun terms

is .

As an adjective positone is

(mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.

terms

English

Noun

(head)

    • Statistics

    * ----

    positone

    English

    Adjective

    (en adjective)
  • (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
  • * 2004 , Leszek Gasinski, Nikolaos S. Papageorgiou, Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems , CRC Press, 2004 ISBN 1420035037, page 704
    • Finally, we mention that several papers studied nonlinear eigenvalue problems of the form
  • *::
    • \begin{cases} -\Delta x(z) = \lambda f (x (z)) \text { for a.a. }z \in \Omega, \\ x, _{\partial \Omega},\ x \ge 0 \end{cases}
  • *:for \scriptstyle \lambda\ >\ 0 under the assumption that \scriptstyle f:\ \mathbb R\ \to\ \mathbb R is continuous, positive, monotone. For this reason such problems were named positone'' ... If the nonlinearity \scriptstyle f:\ \mathbb R\ \to\ \mathbb R is continuous, monotone and \scriptstyle f(0)\ <\ 0 ,...the the eigenvalue problem is called ''semipositone ...

    • Derived terms

    *semipositone