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Analytical method for solving linear abstract differential equations of order n

In this paper, the concept of point-wise independent set of closed operators is introduced. The new concept together with the use of Hahn–Banach Theorem enable us to reduce an inhomogeneous linear abstract differential equation of order n namely, Anu(n)(t)+An−1u(n−1)(t)+⋯+A1u′(t)+A∘u(t)=f(t), into a...

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Autores principales: Waseem Ghazi Alshanti, Ma’mon Abu Hammad, Ahmad Alshanty, Roshdi Khalil
Formato: Artigo
Lenguaje:Inglês
Publicado: Elsevier 2024-09-01
Colección:Partial Differential Equations in Applied Mathematics
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Acceso en línea:http://www.sciencedirect.com/science/article/pii/S2666818124001438
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