In this paper, a recurrent neural network with mixed delays which plays an important role is considered. We are concerned with the existence, uniqueness and global exponential stability of the doubly measure pseudo almost automorphic solutions. First, we establish results that are interesting on the functional space of such functions like composition theorem. Second, by employing the fixed-point theorem and some properties of the measure pseudo almost automorphic functions, some sufficient conditions for the existence, uniqueness and global exponential stability of the doubly measure pseudo almost automorphic solutions have been established. Our results obtained in this paper are new. Finally, two commonly used numerical examples are given to illustrate the effectiveness of the obtained results.

在本文中，考虑了具有重要作用的具有混合延迟的循环神经网络。我们关注双测度伪近自守解的存在性、唯一性和全局指数稳定性。首先，我们在诸如组合定理之类的函数的函数空间上建立有趣的结果。其次，利用不动点定理和测度拟自守函数的一些性质，建立了双测度拟自守解的存在性、唯一性和全局指数稳定性的充分条件。我们在本文中获得的结果是新的。最后给出两个常用的数值例子来说明所得结果的有效性。