Method of comparison for differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb R^2)\) (Q2516554)

The authors propose a new approach to study dynamical properties of the solutions of differential equations with the Hukuhara derivative. This approach is based on the ideas of the geometry of convex bodies proposed in the works by H. Minkowski and A. D. Aleksandrov and on the qualitative methods to investigate ordinary differential equations, in particular, on Matrosov-Vasil'ev's methods of comparison. On the basis of these ideas, the authors obtain estimates of the area of solutions for a class of pseudolinear differential equations with the Hukuhara derivative. Also, some examples illustrating these results are given.