Some properties of pseudo-almost automorphic functions and applications to abstract differential equations. (English) Zbl 1162.44002
In this interesting paper, the authors first extend some basic properties of almost automorphic functions from another perspective. Next, they study compositions of pseudo-almost automorphic functions under conditions that are weaker than the Lipschitz condition. Finally, they establish an existence and uniqueness theorem for pseudo-almost automorphic mild solutions to semilinear differential equations in a Banach space.
Reviewer: K. C. Gupta (Jaipur)
MSC:
| 44A35 | Convolution as an integral transform |
| 42A85 | Convolution, factorization for one variable harmonic analysis |
| 42A75 | Classical almost periodic functions, mean periodic functions |
References:
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