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A calculus for set-valued maps and set-valued evolution equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Shape Lyapunov Functions and Stabilization of Reachable Tubes of Control Problems
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Mathematical Analysis and Applications
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Stability Theory of Dynamical Systems
inferredcites →https://doi.org/10.1007/bf00939453openalex-snapshot
Equations of attainable set dynamics, part 1: Integral funnel equations
inferredcites →https://doi.org/10.1007/bf01027089openalex-snapshot
First-order approximations for differential inclusions
inferredcites →https://doi.org/10.1007/bf01027639openalex-snapshot
Filippov and invariance theorems for mutational inclusions of tubes
inferredcites →https://doi.org/10.1007/bf01039289openalex-snapshot
Mutational equations in metric spaces
inferredcites →https://doi.org/10.1007/bf01039295openalex-snapshot
On single-valuedness of convex set-valued maps
inferredcites →https://doi.org/10.1016/0021-9045(89)90131-7openalex-snapshot
Piecewise linear approximations of set-valued maps
inferredcites →https://doi.org/10.1016/0022-0396(65)90015-xopenalex-snapshot
Stability in general control systems
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On generalized dynamical systems defined by contingent equations
inferredcites →https://doi.org/10.1016/0022-247x(65)90049-1openalex-snapshot
Integrals of set-valued functions
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A differential calculus for multifunctions
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FUNCTIONS OF SEVERAL VARIABLES
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Some inverse mapping theorems
inferredcites →https://doi.org/10.1016/s0294-1449(17)30029-xopenalex-snapshot
On the Set-Valued Calculus in Problems of Viability and Control for Dynamic Processes: The Evolution Equation
inferredcites →https://doi.org/10.1016/s0294-1449(17)30034-3openalex-snapshot
Proto-Differentiability of Set-Valued Mappings and its Applications in Optimization
inferredcites →https://doi.org/10.1080/02331939108843638openalex-snapshot
The eclipsing concept to approximate a multi-valued mapping
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Sensitivity analysis for constraint and variational systems by means of set-valued differentiation
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Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
inferredcites →https://doi.org/10.1137/0325024openalex-snapshot
Local Controllability and Infinitesimal Generators of Semigroups of Set-Valued Maps
inferredcites →https://doi.org/10.1137/0326048openalex-snapshot
Shape Sensitivity Analysis via Min Max Differentiability
inferredcites →https://doi.org/10.1137/0328062openalex-snapshot
The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
inferredcites →https://doi.org/10.1137/0329072openalex-snapshot
Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
inferredcites →https://doi.org/10.1137/1034050openalex-snapshot
Difference Methods for Differential Inclusions: A Survey
inferredcites →https://doi.org/10.1137/s036301299222634xopenalex-snapshot
Inverse Function Theorems and Shape Optimization
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Calculus of Set Valued Functions and Control
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On the Calculus of Closed Set-Valued Functions
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Multivalued Differential Equations
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The concept of differential equation in topological spaces and generalized mechanics.
inferredcites →https://doi.org/10.2140/pjm.1970.33.43openalex-snapshot
Trajectory integrals of set valued functions
inferredcites →https://doi.org/10.2140/pjm.1976.66.67openalex-snapshot
On the differentiability of multifunctions
inferredcites →https://doi.org/10.24546/0100498769openalex-snapshot
INTEGRATION DES APPLICAITONS MESURABLES DONT LA VALEUR EST UN COMPACT CONVEXE
inferredcites →https://doi.org/10.4324/9780203401385_chapter_11openalex-snapshot
Functions of several variables
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Differences of Convex Compacta and Metric Spaces of Convex Compacta with Applications: A Survey
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Expansion of Function with Uncertain Parameters in Higher Dimension
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Several notions of differentiability for fuzzy set-valued mappings
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Differential Equations for Closed Sets in a Banach Space
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Fold-up derivatives of set-valued functions and the change-set problem: A Survey
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Vector-valued interval functions and the Dedekind completion of C(X, E)
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The Set of Hausdorff Continuous Functions— The Largest Linear Space of Interval Functions
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Semifixed Sets of Maps in Hyperspaces with Application to Set Differential Equations
inferred← citeshttps://doi.org/10.1007/s11228-008-0070-3openalex-snapshot
Representations of Affine Multifunctions by Affine Selections
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Set-Valued Stochastic Differential Equations with Unbounded Coefficients
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Existence of solutions for set differential equations involving causal operator with memory in Banach space
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Second type Hukuhara differentiable solutions to the delay set-valued differential equations
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The Minkowski–Lyapunov equation
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Control Minkowski–Lyapunov functions
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Algebraic and topological structure of some spaces of set-valued maps
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Detectability and Invariance Properties for Set Dynamical Systems**This research has been partially supported by the National Science Foundation under CAREER Grant no. ECCS-1450484 and Grant no. CNS-1544396, and by the Air Force Office of Scientific Research under Grant no. FA9550-16-1-0015.
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Reachability and Invariance for Linear Sampled–data Systems
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Interval Cauchy problem with a second type Hukuhara derivative
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On connections between stochastic differential inclusions and set-valued stochastic differential equations driven by semimartingales
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Differentiation of sets in measure
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.11.061openalex-snapshot
Differentiation of sets – The general case
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.01.007openalex-snapshot
Weak solutions of set-valued stochastic differential equations
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Properties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingales
inferred← citeshttps://doi.org/10.1016/j.na.2009.08.015openalex-snapshot
Stochastic set differential equations
inferred← citeshttps://doi.org/10.1016/s0020-0255(02)00401-2openalex-snapshot
The s-differentiability of a fuzzy-valued mapping
inferred← citeshttps://doi.org/10.1023/a:1008678921420openalex-snapshot
On Set-Valued Differentiation and Integration
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Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets
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A Measure-Valued Approach to Convex Set-Valued Dynamics
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On Fréchet differentiability of multifunctions
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Properties of set-valued stochastic differential equations
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Set-Valued Stochastic Integrals and Equations with Respect to Two-Parameter Martingales
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Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane
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Invariant approximations of the minimal robust positively invariant set via finite time Aumann Integrals
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Asymptotic properties of solutions to set dynamical systems
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The Linear Space of Hausdorff Continuous Interval Functions
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A Viability Theorem for Morphological Inclusions
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Probability Gradient Estimation by Set-Valued Calculus and Applications in Network Design
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Stochastic integrals and stochastic equations in set-valued and fuzzy-valued frameworks
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QUADRATIC APPROXIMATION OF SOLUTIONS FOR SET-VALUED FUNCTIONAL DIFFERENTIAL EQUATIONS
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A Conversation with Estate V. Khmaladze
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Set-Valued Numerical Analysis and Optimal Control
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Sufficient conditions for asymptotic stability and feedback control of set dynamical systems
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Kakutani-Fan's Fixed Point Theorem in Hyperspaces
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