positone

Etymology

Definitions

1. 1

   of a particular kind of eigenvalue problem involving a nonlinear function on the reals…

   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
2. 2

   for scriptstyle λ>0 under the assumption that scriptstyle f

   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...

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