Degenerate differential equations and modified Szász-Mirakjan operators

Abstract

We consider the elliptic operator Lu(x) := xu (x) + β (x)u (x) + γ(x)u(x) with Wentzell-type boundary condition, in spaces of continuous function on [0, +∞[. We prove that such operators generate positive C 0 -semigroup which can be approximated by means of iterated of modified Szász-Mirakjan operators here introduced.