$C^{(n)}$-Pseudo Almost Automorphy and Its Applications to Some Higher-Order Differential Equations

  • Toka Diagana
  • Valerie Nelson

Abstract

In this paper we introduce and study a new concept called
$C^{(n)}$-pseudo-almost automorphy, which generalizes in a natural fashion both the notions of $C^{(n)}$-almost periodicity and that of $C^{(n)}$-almost automorphy. Properties of such a new concept will be studied. Furthermore, we prove the existence
of $C^{(n)}$-pseudo-almost automorphic solutions to some $n$-order differential equations.
Published
2012-08-24
Section
Articles