Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
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DOI：
10.1007/s00233-007-9011-y
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发表时间：
2008-05
期刊：
影响因子：
0.7
通讯作者：
Ti‐Jun Xiao;Jin Liang;Jun Zhang
中科院分区：
文献类型：
--
作者：
Ti‐Jun Xiao;Jin Liang;Jun Zhang
在本文中，我们证明了空间是完备的。这不仅对这一领域的一个基本问题给出了肯定的回答，而且使我们得到了Banach空间中半线性微分方程伪几乎自守温和解的存在唯一性定理。最后给出一个例子来说明我们的定理。
In this paper, we prove that the spaceis complete. This not only gives an affirmative answer to a basic problem in this field, but also enables us to obtain an existence and uniqueness theorem of pseudo almost automorphic mild solutions to semilinear differential equations in Banach spaces. An example is given to illustrate our theorem.