PSEUDOASYMPTOTICALLY BLOCH PERIODIC SOLUTIONS WITH MEASURES FOR SOME DIFFERENTIAL EQUATIONS
We focus on the (μ1,μ2)-pseudoasymptotically Bloch τ-periodicity and its applications. Firstly, we define a new notion of (μ1,μ2)-pseudoasymptotically Bloch τ-periodic functions and some fundamental properties. Then, we apply the obtained results to investigate the existence and uniqueness of (μ1,μ2)-pseudoasymptotically Bloch τ-periodic mild solutions to semilinear evolution equation in Banach spaces. Finally, we gave an application that facilitates the work.
Authors
- Mounir Ben Salah
- Mohsen Miraoui (ORCID: https://orcid.org/0000-0003-0312-9435)
- Youssef Khemili
Publication Details
- Journal
- Rocky Mountain Journal of Mathematics
- Published
- 2024-09-26
- DOI
- https://doi.org/10.1216/rmj.2024.54.1261
- Citations
- 8
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 7.80