positone en · ADJ
Etymology
Blend of positive + monotone.
Meanings
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(not-comparable) of 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
- (not-comparable) 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...