On entire solutions of abstract degenerate differential equations of higher order

Abstract

The main purpose of this paper is to continue our previous research study of degenerate $k$-regularized $(C_{1},C_{2})$-existence and uniqueness families in sequentially complete locally convex spaces \cite{cubo} by investigating the entire solutions of abstract degenerate differential equations of higher order. We apply our results in the analysis of existence and uniqueness of entire solutions of the abstract Boussinesq-Love equation and the abstract Barenblatt-Zheltov-Kochina equation in finite domains.