The formula for the multiplicity of two generalized polynomials on time scales

The theory of approximate solutions is lack of a development on the area of nonlinear differential equations on time scales. One of the difficulties for developing a theory of series solutions for the homogeneous equations on time scales is that a formula for the multiplication of two generalized polynomials is not easily found. In this paper we present the formula for the multiplicity of two generalized polynomials on time scales.