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

In: Mathematica Slovaca, vol. 66, no. 5

Na Song - Hong-Xu Li - Chuan-Hua Chen

Detaily:

Rok, strany: 2016, 1139 - 1156

Kľúčové slová:

piecewise pseudo almost periodic function, weighted pseudo almost periodic sequence, mild solution, impulsive differential equation

DOI: https://doi.org/10.1515/ms-2016-0210

O článku:

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.

Ako citovať:

ISO 690:

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

APA:

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

O vydaní:

Publikované: 1. 10. 2016