On the Qualitative Properties of the Analytical Solution of an Integrodifferential Equation

Abstract In this paper we will investigate an integrodifferential equation of Volterra type which describes the variation with time of the function v (x, t) the particle size mass density function of the material undergoing grinding. We will prove that under certain assumptions there exists a unique nonnegative mass conserving solution and if t tends to infinity v(x, t) tends to zero in an exponentional order.