Estimates of the Volume of Solutions of Differential Equations with Hukuhara Derivative
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 440-447
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For a class of nonlinear differential equations with Hukuhara derivative, lower bounds for the volume of their solutions are obtained. A. D. Aleksandrov's classical inequalities for mixed volumes combined with the comparison method are used.
Keywords:
nonlinear differential equation, Hukuhara derivative, volume of solutions of a differential equation, Aleksandrov's inequalities for mixed volumes, Lyapunov function, Hausdorff metric, Steiner's formula, Aumann integral.
@article{MZM_2015_97_3_a11,
author = {E. V. Ocheretnyuk and V. I. Slyn'ko},
title = {Estimates of the {Volume} of {Solutions} of {Differential} {Equations} with {Hukuhara} {Derivative}},
journal = {Matemati\v{c}eskie zametki},
pages = {440--447},
publisher = {mathdoc},
volume = {97},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a11/}
}
TY - JOUR AU - E. V. Ocheretnyuk AU - V. I. Slyn'ko TI - Estimates of the Volume of Solutions of Differential Equations with Hukuhara Derivative JO - Matematičeskie zametki PY - 2015 SP - 440 EP - 447 VL - 97 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a11/ LA - ru ID - MZM_2015_97_3_a11 ER -
E. V. Ocheretnyuk; V. I. Slyn'ko. Estimates of the Volume of Solutions of Differential Equations with Hukuhara Derivative. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 440-447. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a11/