positone

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adjective

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

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Meanings

adjectivepositone (not comparable)
  1. not comparablemathematicsof a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.

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

    Leszek Gasinski; Nikolaos S. Papageorgiou (2004), Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, CRC Press, page 704
  2. not comparablefor scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...

Origin

Blend of positive + monotone.

Full word history & related roots →

Rhymes & wordplay

Anagrams

Pontoise
Cite this entry
APA

positone. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/positone

MLA

“positone.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/positone. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “positone,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/positone.

Source: positone on Wiktionary, CC BY-SA 4.0.