Positivity and Stability for Nondensely Defined Partial Neutral Functional Differential Equations

Abstract

In this work, we study the positivity in the context of partial neutral functional differential equations. We suppose that the undelaying part is nondensely defined and satisfies the Hille–Yosida condition. We first prove the positivity of the solution semigroup. Positivity will be used to prove an interesting stability result.