Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces

The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.