positone

English

Etymology

Blend of positive +‎ monotone

Adjective

positone (not comparable)

1. (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
   • Leszek Gasinski, Nikolaos S. Papageorgiou (2004) Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, CRC Press, →ISBN, page 704

     Finally, we mention that several papers studied nonlinear eigenvalue problems of the form

     ${\begin{cases}-\Delta x(z)=\lambda f(x(z)){\text{ for a.a. }}z\in \Omega ,\\x|_{\partial \Omega },\ x\geq 0\end{cases}}$

     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 $\scriptstyle f(0)\ <\ 0$,...then the eigenvalue problem is called semipositone...

Derived terms

• semipositone

Italian

Noun

positone m (plural positoni)

1. Alternative form of positrone

Anagrams

• pentosio, spoetino