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Existence of pseudo-almost automorphic solutions for nonlinear differential equations. (English) Zbl 1312.43005
The concept of pseudo-almost automorphic functions, which is an extension of almost automorphy, has been investigated by many mathematicians. By using the Leray-Schauder fixed point theorem the authors studies the existence of pseudo-almost automorphic solutions to linear differential equations which have an exponential trichotomy.
##### MSC:
 43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
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##### References:
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