positone
adjEtymology Blend of positive + monotone.
1
Mathematics, Sciences 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 formLeszek Gasinski; Nikolaos S. Papageorgiou (2004), Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, CRC Press, page 704
2
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...
- Derived terms
- semipositone