The extension of the size-distribution function of dispersed particles and the dependence of their individual radii on the time permitted going over to the solution of a problem on the stability of different dispersed systems in its more general formulation. It is shown that the conditions of growth, solution, and transformation of the size distribution of microparticles are substantially determined by the kind of dependence of the interphasal surface energy on the radius. Possibilities of the experimental detection of established, unknown earlier, kinetic regularities of the growth and solution of microparticles are discussed.