International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 7, Pages 437-444
doi:10.1155/S0161171201002307
On the correct formulation of a nonlinear differential equation in Banach spaces
Mahmoud M. El-Borai
, Osama L. Moustafa
and Fayez H. Michael
Faculty of Science, Alexandria University, Alexandria, Egypt
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.