Almost automorphy for abstract neutral differential equations via control theory

作者：Henriquez Hernan R^*; Cuevas Claudio

来源：Annali di Matematica Pura ed Applicata, 2013, 192(3): 393-405.

DOI：10.1007/s10231-011-0229-7

• Neutral functional differential equations
• Equations in abstract spaces
• Almost automorphic functions
• Semigroups of operators
• Compact operators
• Controllability of systems

In this paper we study the existence of almost automorphic solutions for a class of linear neutral functional differential equations with finite delay and values in a Banach space. We show that the existence of an almost automorphic mild solution is related to the approximate controllability of a distributed control system. We applied our results to establish the existence of an almost automorphic solution for a neutral wave equation with delay.

• 出版日期2013-6