ENGLISH DICTIONARY

Positone

Definition, Meaning & Examples

Part of speech adjective

Quick meaning: Positone is an adjective meaning (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.

Meaning

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

More Meanings

  1. for 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.

Example Sentences

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

Related Words

Related dictionary entries include semipositone, monotone, isotone, semipositive, nonvanishing, pseudomonotone.

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Sources & Attribution

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