An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Abstract

In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

Keywords

• systems of differential equations
• monotonic solutions
• existence and uniqueness theorems
• fixed point theory
• sequentially complete gauge spaces