id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1385	Zheng, Feng-Xia; Li, Hong-Xu	Almost automorphic solutions to non-autonomous dynamic equations with Stepanov-like almost automorphic forcing terms on time scales	2025	18	.pdf	application/pdf	7978	502	85	∈ K for t ∈ T. By Lemma 3.2, we have f ∈ SpAAK(T×X,Y ), and a subsequence {ξn}∞n=1 of {ξ′n}∞n=1 and a function f̃ such that lim n→∞ ( 1 K ∫ [t,t+K)T sup x∈K ∥f(s+ ξn, x)− f̃(s, x)∥p∆s )1/p = 0 for t ∈ T, lim n→∞ ( 1 K ∫ [t,t+K)T sup x∈K ∥f̃(s− ξn, x)− f(s, x)∥p∆s )1/p = 0 for t ∈ T. (3.9) and g is Sp-a.a., for any sequence {ξ′n}∞n=1 ⊂ Π, there exist a subsequence {ξn}∞n=1 of {ξ′n}∞n=1 and two functions f̃ , g̃ such that lim n→∞ f(t+ ξn) = f̃(t) for t ∈ T, lim n→∞ f̃(t− ξn) = f(t) for t ∈ T, (2.2) lim n→∞ ( 1 K ∫ [t,t+K)T ∥g(s+ ξn)− g̃(s)∥p∆s )1/p = 0 for t ∈ T, lim n→∞ ( 1 K ∫ [t,t+K)T ∥g̃(s− ξn)− g(s)∥p∆s )1/p = 0 for t ∈ T. (2.3)	cache/ejde-1385.pdf	txt/ejde-1385.txt