On Direct and Inverse Problems for the Hoff Equations on Graph

The Hoff equations defined on graph describe the dynamics of H-beams construction buckling. Generalization of the direct problem which is the Cauchy problem is obtained. For the first time the inverse coefficient problem is studied which is modeling the experiment that allows with additional measurements not only to study the construction buckling dynamics but also the characteristics of beam material. The unique solution of this problem is demonstrated.