Stability Analysis of Two Point Boundary Value Problem on Time Scales

Lakshmi Kantham and M. Rama Mohana Rao contributed a lot for the theory of integro- differential equations of Volterra type and its various properties. In this paper, an attempt is made to explore the existence of a solution for a matrix integro-dynamical equation of Volterra type (MIDT) with two-point boundary value problem (TBVP) in terms of Green’s matrix (GM) on time scales (TS). And properties of GM and stability of the system on TS are discussed.