International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 1, Pages 1-10
doi:10.1155/S0161171201004495
On the existence of solutions for a class of first-order differential equations
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Received 22 November 1999; Revised 10 March 2000
Copyright © 2001 Kamel Al-Khaled. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A system of first-order differential equations with linear
constraint is studied. Existence theorems for the solution are
proved under some conditions. Some uniqueness and dependence
results for the system are also obtained. Some applications are
given.