Liouville formula for some classes of differential equations with the Hukuhara derivative

DOI10.1134/S0012266119110016zbMath1437.34002OpenAlexW2996296171MaRDI QIDQ2300690

I. Atamas, Vitalii I. Slyn'ko

Publication date: 28 February 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119110016

zbMATH Keywords

linear differential equationHukuhara derivativeLyapunov vector functionLiouville formula

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (3)

Linear recurrent equations in the space of convex compact sets and the diameters of their solutions ⋮ Time-invariant polyhedron-preserving linear differential equations with the Hukuhara derivative ⋮ Lyapunov exponents of the radii of inscribed and circumscribed spheres of solutions of time-invariant linear differential equations with the Hukuhara derivative

Cites Work

• The stability of fixed points of discrete dynamical systems in the space conv \(\mathbb{R}^n\)
• Qualitative analysis of solutions of nonlinear differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb{R}^2)\)
• Instability of set differential equations
• Solution area for a class of linear differential equations with Hukuhara derivative
• Estimates of the volume of solutions of differential equations with Hukuhara derivative
• Stability in terms of two measures for set difference equations in space
• Nonuniform stability and boundedness criteria for set differential equations
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