Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials

We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the “input–output” type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.

Presented by the member of Editorial Board: V. I. Gurman