Method of comparison for differential equations with the Hukuhara derivative in the space conv(R~2)

摘要

A new approach based on the ideas of the geometry of convex bodies and on the Matrosov-Vasil'ev method of comparison to the analysis of the solutions of differential equations with the Hukuhara derivative is proposed. The estimates of the area of solutions for a class of pseudolinear differential equations with the Hukuhara derivative are obtained. The obtained results are demonstrated by examples.