n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
Copyright policy )n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
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.
- Yunnan University China (People's Republic of)
- Florida Institute of Technology United States
- Morgan State University United States
- Yunnan Open University China (People's Republic of)
- Texas A&M University – Kingsville United States
time scales, seighted pseudo Δ<i><inline-formula> <mml:math id="mm1011" display="block"> <mml:semantics> <mml:msubsup> <mml:mrow/> <mml:mrow> <mml:msub> <mml:mi>n</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:mi>δ</mml:mi> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></i>-almost automorphic functions, mild solutions, QA1-939, abstract dynamic equations, Mathematics
time scales, seighted pseudo Δ<i><inline-formula> <mml:math id="mm1011" display="block"> <mml:semantics> <mml:msubsup> <mml:mrow/> <mml:mrow> <mml:msub> <mml:mi>n</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:mi>δ</mml:mi> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></i>-almost automorphic functions, mild solutions, QA1-939, abstract dynamic equations, Mathematics
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