In this paper, we focus on constructing analytical asymptotic approximations for solutions of second-order matrix difference operators using the Liouville–Green method. General analytical approximations are provided based on the Discrete Levinson’...
In this paper, we focus on constructing analytical asymptotic approximations for solutions of second-order matrix difference operators using the Liouville–Green method. General analytical approximations are provided based on the Discrete Levinson’s Fundamental Theorem and Kooman’s Theorem. Furthermore, we use the discrete Gronwall inequality to establish error bounds for the asymptotic approximations.