Conditions for the existence of local solutions of set-valued differential equations with generalized derivative

DOI10.1007/S11253-014-0875-1zbMath1327.34036OpenAlexW2014641790MaRDI QIDQ2259458

Andrej V. Plotnikov, Natalia Skripnik

Publication date: 4 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0875-1

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60)

Related Items (10)

Relationship between Bede-Gal differentiable set-valued functions and their associated support functions ⋮ Three-step averaging scheme for set-valued differential equations with generalized derivative ⋮ Existence of solutions of linear set-valued integral equations and their properties ⋮ Unnamed Item ⋮ One time-optimal problem for a set-valued linear control system ⋮ An extension of the Rådström cancellation theorem to cornets ⋮ Solving a system of linear differential equations with interval coefficients ⋮ Solving a nonhomogeneous linear system of interval differential equations ⋮ A multivalued discrete system and its properties ⋮ Conditions for the existence of basic solutions of linear multivalued differential equations

Cites Work

• Generalized derivative and \(\pi \)-derivative for set-valued functions
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• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Averaging of controlled equations with Hukuhara derivative
• Approximation of a bundle of solutions of linear differential inclusions
• A differential calculus for multifunctions
• Trajectory integrals of set valued functions
• Asymptotic behavior for differential equations which cannot be locally linearized
• Integro-differential equations with multivalued solutions
• Systems of control over set-valued trajectories with terminal quality criterion
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• Differential equations with set-valued solutions
• Systems of linear differential equations with $ \pi$-derivative and linear differential inclusions
• An Embedding Theorem for Spaces of Convex Sets
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