Abstract:

The authors dealt with the existence of pseudoalmost automorphic solutions to the linear differential equation which has an exponential trichotomy, and the result  also holds for nonlinear equations  x′(t)=f(t,x(t))+g(t,x](t)) by means of the application of LeraySchauder fixed point theorem, where f,g are pseudoalmost automorphic functions.

Key words: exponential trichotomy, pseudoalmost automorphic, fixed point