On the Review of Some Stability Properties of Fixed Points for Linear Differential Systems | Asian J

This work examines the stability of a coupled system of first order ordinary differential equations, such that if F: R + xR2 Rn is continuous, a fixed point (t), tR+, of the system (1) is said to be stable if it starts with 0(t) at the origin and remains around 0(t) in some sense for all t R+. This indicates that modest system interferences that generate small perturbations to the starting conditions of fixed points near (0) do not cause a significant change in these fixed points throughout the interval R+. Although there are many different forms of fixed point stability, we will focus on the ones that are most significant in the applications of ordinary differential equations in this paper.

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