n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
Keyword(s):
In this paper, we introduce the concept of a n 0 -order weighted pseudo Δ n 0 δ -almost automorphic function under the matched space for time scales and we present some properties. The results are valid for q-difference dynamic equations among others. Moreover, we obtain some sufficient conditions for the existence of weighted pseudo Δ n 0 δ -almost automorphic mild solutions to a class of semilinear dynamic equations under the matched space. Finally, we end the paper with a further discussion and some open problems of this topic.
2020 ◽
Vol 25
(2)
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pp. 781-798
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Keyword(s):
2017 ◽
Vol 2017
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pp. 1-9
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