Hahn-Banach theorem-based analytic approaches for the abstract Cauchy-Euler differential equation

Article Sidebar

PDF
Published: 2024-12-01
DOI: https://doi.org/10.56947/gjom.v18i1.2270
Keywords:
Cauchy-Euler differential equation, Hahn-Banach Theorem, dual space

Main Article Content

Waseem Alshanti
Department of Mathematics, Al Zaytoonah University of Jordan, Jordan
Ma'mon Abu Hammad
Department of Mathematics, Al Zaytoonah University of Jordan, Jordan
Ahmad Alshanty
Cyber security Department, Al Zaytoonah University of Jordan, Jordan
Roshdi Khalil
Department of Mathematics, The University of Jordan, Jordan

Abstract

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.

 

Article Details

Issue

Vol. 18 No. 1 (2024): Recent Advances in Mathematical Analysis

Section

Articles

How to Cite

Hahn-Banach theorem-based analytic approaches for the abstract Cauchy-Euler differential equation. (2024). Gulf Journal of Mathematics, 18(1), 118-123. https://doi.org/10.56947/gjom.v18i1.2270