Asymptotic equations in a model of hadron interaction

Major dynamic problems have been considered on the basis of the group scheme for classifying the hadrons. Important corollaries referring to the hadron fields used in this work have been obtained from the group scheme. A set of non-linear integral equations has been introduced for asymptotic hadron fields. For this set the Wightman axioms were not assumed to hold and the fields were written as four-momentum ordinary functions; secondary quantization is not used. The Lorentz invariance and the CPT invariance on the set of equations have been proved. A program has been outlined for the studies on this problem and its forthcoming solution. (authors)