Almost periodic solutions to abstract semilinear evolution equations with Stepanov almost periodic coefficients

作者：Ding, Hui-Sheng; Long, Wei; N'Guerekata, Gaston M.^*

来源：Journal of Computational Analysis and Applications, 2011, 13(2): 231-242.

• almost periodic
• Stepanov almost periodic
• semilinear evolution equations
• Banach space

In this paper, almost periodicity of the abstract semilinear evolution equation u'(t) = A(t)u(t) f(t, u(t)) with Stepanov almost periodic coefficients is discussed. We establish a new composition theorem of Stepanov almost periodic functions; and, with its help, we study the existence and uniqueness of almost periodic solutions to the above semilinear evolution equation. Our results are even new for the case of A(t) equivalent to A.

• 出版日期2011-2
• 单位江西师范大学