Abstract: In this paper the definition of micropolar protoelastic material bodies is given and with the help of the principle of virtual power, the variational principle of those bodies is derived. In terms of that same idea and the definition of micropolar protopotential presented here, the constitutive equations for nonlocal micropolar elastic continue are naturally derived.

Key words: system of impulsive Volterra integral equations, Tonelli’s method, extremal solutions, cone and partial ordering