Piecewise weighted pseudo almost periodic functions and applications to impulsive differential equations

Year, pages: 2016, 1139 - 1156

In this paper, we introduce a concept of piecewise weighted pseudo almost periodic functions on a Banach space and present the essential properties of this kind of functions, including the composition theorems and the uniqueness of decomposition of the functions. As an application, we give some results on the existence and stability of piecewise weighted pseudo almost periodic mild solutions to an abstract impulsive differential equation. Moreover, a concrete example is given to illustrate our abstract results.

Song, N., Li, H., Chen, C. 2016. Piecewise weighted pseudo almost periodic functions and applications to impulsive differential equations. In Mathematica Slovaca, vol. 66, no.5, pp. 1139-1156. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0210

Song, N., Li, H., Chen, C. (2016). Piecewise weighted pseudo almost periodic functions and applications to impulsive differential equations. Mathematica Slovaca, 66(5), 1139-1156. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0210