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
Kamel Al-Khaled
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
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.