On the correct formulation of a nonlinear differential equations in Banach space
Mahmoud M. El-Borai,1Osama L. Moustafa,1and Fayez H. Michael1
Received28 Sept 1998
Abstract
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 equations.