semipositone

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

(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...