Hahn-Banach theorem-based analytic approaches for the abstract Cauchy-Euler differential equation
In this paper, we consider the following abstract Cauchy-Euler differential equation t2u''(t) + tu't) + u(t) = 0; where u: [0; t] -> X is an unknown function such that X is a Banach space. Utilizing the Hahn-Banach Theorem, two analytic approaches are presented.
Authors
- Waseem Ghazi Alshanti (ORCID: https://orcid.org/0000-0002-6403-3448)
- Roshdi Khalil (ORCID: https://orcid.org/0000-0003-0684-5867)
- Ma’mon Abu Hammad (ORCID: https://orcid.org/0000-0003-1099-3600)
- Ahmad Alshanty
Institutions
- University of Jordan (JO)
- Al-Zaytoonah University of Jordan (JO)
Publication Details
- Journal
- Gulf Journal of Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.56947/gjom.v18i1.2270
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00