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Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative

Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Galanis, G. N.   +3 more
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Fractional-like Hukuhara derivatives in the theory of set-valued differential equations

Chaos, Solitons & Fractals, 2020
Abstract In this paper a fractional-like Hukuhara-type derivative is introduced for a set of equations. Connections between the new defined notion and the classical Hukuhara derivative are established and, in addition, some applications to the theory of set-valued differential equations are discussed. Namely, for a family of equations with fractional-
Martynyuk, Anatoliy A.   +2 more
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Global existence and uniqueness of the solution to the impulsive interval-valued differential equations under generalized Hukuhara differentiability

Journal of Intelligent & Fuzzy Systems, 2018
In this work, we presented the global existence and uniqueness of the solution to some classes of the impulsive interval-valued differential equations under generalized Hukuhara differentiability, for example, the impulsive interval-valued differential equations (IIDEs), the linear impulsive interval-valued differential equations (LIIDEs) under ...
Nguyen Dinh Phu   +2 more
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A Delay Second-Order Set-Valued Differential Equation with Hukuhara Derivatives

Numerical Functional Analysis and Optimization, 2015
In this article, we study a second-order differential equation with three-point boundary conditions with the notion of Hukuhara derivatives. The existence and uniqueness of a solution is given under a Lipschitz condition on the right-hand side in the second and third variables.
Dalila Azzam-Laouir, Wafiya Boukrouk
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Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations. [PDF]

open access: possible, 2012
Our paper "Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations", appeared in Nonlinear Analysis 71 (2009), contains some imprecisions. In this note we correct them and give few new results on the topic.
Luciano Stefanini, Barnabás Bede
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Existence of generalized Hukuhara differentiable solutions to a class of first-order fuzzy differential equations in dual form

Fuzzy Sets and Systems
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M. Chehlabi, Tofigh Allahviranloo
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