Abstract:
The present work deals with the existence and periodicity of solutions to non-autonomous partial differential equations of retarded, infinite, and neutral type in the framework of fading memory space, which is defined axiomatically. In our strategy, we rely on Sadovskii's fixed-point theorem. On the other hand, the family of linear operators $A(\cdot)$ is assumed to be non-densely defined and verified by the Acquistapace–Terreni conditions. Finally, we propose an application to illustrate our results.
Fulltext:
PDF file (421 kB)
First page:
PDF file