Existence and uniqueness of solutions of uncertain linear systems

Document Type : Research Paper


Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.


This paper presents some new definitions and theorems about a system of linear uncertain differential equations. An existence and uniqueness of solutions of the system with initial condition will be proven. Also, it will be shown that the collection of solutions of the homogeneous uncertain system is a linear space.