Abstract
In this paper we introduce and study a new class of functions called $S^{p,q(x)}$pseudo-almost periodic (or weighted Stepanov-like pseudo-almost periodic functions with variable exponents), which generalizes the class of weighted Stepanov-like pseudo-almost periodic functions. Basic properties of these new spaces are established. The existence of weighted pseudo-almost periodic solutions to some first-order differential equations with $S^{p,q(x)}$pseudo-almost periodic coefficients will also be studied.
Citation
T. Diagana. M. Zitane. "Weighted Stepanov-Like Pseudo-Almost Periodic Functions in Lebesgue Space with Variable Exponents $L^{p(x)}$." Afr. Diaspora J. Math. (N.S.) 15 (2) 56 - 75, 2013.
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