Volterra integral equations on unbounded time scales

Abstract

This paper introduces a more general result on existence, uniqueness and boundedness for solutions of nonlinear Volterra integral equation on time scales. We use Lipschitz type function, which can be an unbounded, and the Banach fixed point theorem at appropriate functional space. Furthermore it allows to get new sufficient conditions for boundedness of solutions. 45D05, 45G10, 34N05