On the correct formulation of a nonlinear differential equations in Banach space

We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equ...

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Bibliographic Details
Main Authors: Mahmoud M. El-Borai, Osama L. Moustafa, Fayez H. Michael
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201002307
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