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

Mahmoud M. El-Borai, Osama L. Moustafa and Fayez H. Michael

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-8

Abstract:

We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation ( d n − 1 / d t n − 1 ) ( d u / d t + A u ) = 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 equations.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:302318

DOI: 10.1155/S0161171201002307

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