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In this article, we introduce and investigate the concept of μStepanov-like pseudo almost automorphic functions of class h and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay.

journal of applied analysis and computation

EXISTENCE OF &lt;i&gt;µ&lt;/i&gt;-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY