Stepanov multi-dimensional almost periodic functions and applications

Chávez A.; Khalil K.; Kostić M.; Pinto M. · Filomat (2023) · DOI: 10.2298/fil2312681c

Resumen

In this paper, we analyze several various classes of Stepanov multi-dimensional almost periodic functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not considered elsewhere even in the case that the exponent p(·) has a constant value. We provide certain applications to the abstract (degenerate) Volterra integro-differential equations in Banach spaces.

Instituciones: Universidad Nacional de Trujillo