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In this paper, we study -pseudo almost automorphic solutions for the nonlinear differential equation for where is matrix and is an -pseudo almost automorphic function satisfying the following condition where and is a nondecreasing function continuous on , verifying for every and . The main tools are exponential dichotomy and a fixed point theorem. This work is motivated by the work  where there are a number of inaccuracies in the proof of the main result. An example is given to illustrate the theory.
How to Cite this Article:
El Hadi Ait Dads, Nadia Drisi, Khalil Ezzinbi, Mohamed Ziat, Exponential dichotomy and (u,v)-pseudo almost automorphic solutions for some ordinary differential equations, Communications in Optimization Theory 2016 (2016), Article ID 6.