Mediante el uso de una generalización de los subgradientes, se demuestra una condición dual de optimalidad necesaria y suficiente para Optimización Convexa. No se requiere la cualificación de restricciones en el caso finito-dimensional.
The mathematical model of a beam on a unilateral elastic subsoil of Winkler's type and with free ends is considered. Such a problem is non-linear and semi-coercive. The additional assumptions on the beam load ensuring the problem solvability are formulated and the existence, the uniqueness of the solution and the continuous dependence on the data are proved. The cases for which the solutions need not be stable with respect to the small changes of the load are described. The problem is approximated...