Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces

作者：Zhao Zhi Han; Chang Yong Kui^*; Nieto Juan J

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(3-4): 1886-1894.

DOI：10.1016/j.na.2009.09.028

• Almost automorphic
• Pseudo-almost automorphic
• Neutral differential equations

In this paper we prove some existence results for almost automorphic and pseudo-almost automorphic mild solutions to a class of abstract differential equations in Banach spaces. The main technique is based on some composition theorems combined with the contraction mapping theorem. Finally, we present an application to a semilinear partial differential equation with Dirichlet conditions.

• 出版日期2010-2-1
• 单位兰州交通大学