semipositone

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adjective

an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero.

Scrabble 16
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Meanings

adjectivesemipositone (not comparable)
  1. not comparablemathematicsan eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero.

    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

From semi- + positone.

Full word history & related roots →
Cite this entry
APA

semipositone. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/semipositone

MLA

“semipositone.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semipositone. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “semipositone,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/semipositone.

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