Linear System of the Volterra Integral Equations with a Polar Kernel

This study are related Volterra integral equation with a polar kernel. Initial value problems for hyperbolic equations with function coefficients provides integral equation with 3-D Volterra type. Existence and uniqueness theorems of the Volterra integral equation a polar kernel are proved. Method of successive approximation used in the solutions of singular integral equations, existence and uniqueness theorems are emphasize