Semipositone vs Positone - What's the difference?
semipositone | positone | Derived terms |
(mathematics) an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero.
* 2004 , Leszek Gasinski, Nikolaos S. Papageorgiou, Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems , CRC Press, 2004 ISBN 1420035037,
*::
\begin{cases}
-\Delta x(z) = \lambda f (x (z)) \text { for a.a. }z \in \Omega, \\
x, _{\partial \Omega},\ x \ge 0
\end{cases}
*:for under the assumption that is continuous, positive, monotone. For this reason such problems were named positone'''''... If the nonlinearity is continuous, monotone and ,...the the eigenvalue problem is called '''''semipositone ... (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
* 2004 , Leszek Gasinski, Nikolaos S. Papageorgiou, Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems , CRC Press, 2004 ISBN 1420035037,
*::
\begin{cases}
-\Delta x(z) = \lambda f (x (z)) \text { for a.a. }z \in \Omega, \\
x, _{\partial \Omega},\ x \ge 0
\end{cases}
*:for under the assumption that is continuous, positive, monotone. For this reason such problems were named positone'' ... If the nonlinearity is continuous, monotone and ,...the the eigenvalue problem is called ''semipositone ...
Semipositone is a derived term of positone.
In mathematics|lang=en terms the difference between semipositone and positone
is that semipositone is (mathematics) an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero while positone is (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.As adjectives the difference between semipositone and positone
is that semipositone is (mathematics) an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero while positone is (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.semipositone
English
Adjective
(en adjective)page 704
- Finally, we mention that several papers studied nonlinear eigenvalue problems of the form
positone
English
Adjective
(en adjective)page 704
- Finally, we mention that several papers studied nonlinear eigenvalue problems of the form