Generation of analytic semigroups with generalized Wentzell boundary condition

In this paper we study second order ordinary and partial differential equations with generalized Wentzell boundary condition. We prove, by a perturbation method, that certain second order ordinary differential operators generate an analytic semigroup in and the same result has been extended for the degenerate operator . Finally, we prove that certain linear partial differential operators of the second order generate analytic semigroups in the space of continuous functions.