Composition Theorems of Stepanov μ-Pseudo Almost Automorphic Functions and Applications to Nonautonomous Neutral Evolution Equations

In this work, we present a new composition theorem of μ -pseudo almost automorphic functions in the sense of Stepanov satisfying some local Lipschitz conditions. Using this results, we establish an existence result of μ -pseudo almost automorphic solutions for some nonautonomous neutral partial evolution equation with Stepanov μ -pseudo almost automorphic nonlinearity. An example is shown to illustrate our results.