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- W4304893411 abstract "This paper is a continuation of the work in the literature [21] related to the differential equation x ′ = A ( t ) x + f ( t ) . We give new Massera and Bohr-Neugebauer type theorems when the coefficients are almost automorphic. For the Massera theorem, unlike in the almost periodic case (see [21] ), we show that Favard's condition is only needed to hold for A ( t ) (not necessarily for all its hull) in order to obtain a compactly almost automorphic solution when the coefficients are almost automorphic. Moreover, we give many examples of matrices A ( t ) satisfying Favard's condition. We conclude the work by some new results of Bohr-Neugebauer type (all bounded solutions are almost automorphic)." @default.
- W4304893411 created "2022-10-13" @default.
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- W4304893411 date "2023-02-01" @default.
- W4304893411 modified "2023-09-30" @default.
- W4304893411 title "On Massera and Bohr-Neugebauer type theorems for some almost automorphic differential equations" @default.
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- W4304893411 doi "https://doi.org/10.1016/j.jmaa.2022.126761" @default.
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