Periodic solutions of a class of neutral non-autonomous partial differential equations in fading memory spaces
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.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Stability and Controllability of Differential Equations
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Russian Mathematics
- Issue
- 1
- Pages
- 40–51
- Publication date
- 12 February 2026
- Language
- EN