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

Year: 2024

Type: article

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.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v18i1.2270

Authors: Waseem Alshanti, Ma'mon Abu Hammad, Ahmad Alshanty, Roshdi Khalil

Institutions: Al-Zaytoonah University of Jordan, University of Jordan

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405172248

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