Periodic Solutions For Nonlinear Systems of Multiple Integro-differential Equations that Contain Symmetric Matrices with Impulsive Actions

This paper examines a new nonlinear system of multiple integro-differential equations containing symmetric matrices with impulsive actions. The numerical-analytic method ordinary differential and Banach fixed point theorem are used to study the existence, uniqueness stability periodic solutions piecewise continuous functions. is based on Hölder condition in which ordering , real numbers between 0 1.