A Peano theorem for fuzzy differential equations with evolving membership grade
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Publication:1676873
DOI10.1016/j.fss.2014.12.001zbMath1377.34003OpenAlexW2022782108MaRDI QIDQ1676873
Thomas Lorenz, Peter E. Kloeden
Publication date: 10 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2014.12.001
differential inclusionsfuzzy differential equationsreachable setsendograph metricsendograph metricset differential equationsPeano theoremmorphological equations
Related Items (8)
Differential equations for closed sets in a Banach space, survey and extension ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ Some properties of Skorokhod metric on fuzzy sets ⋮ Characterizations of compact sets in fuzzy set spaces with \(L_p\) metric ⋮ Nonlocal multi-scale traffic flow models: analysis beyond vector spaces ⋮ \(L\)-metric on the space of \(L\)-fuzzy numbers ⋮ Characterizations of endograph metric and \(\Gamma\)-convergence on fuzzy sets ⋮ TRANSPORT EQUATION WITH FUZZY DATA
Cites Work
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- On Peano theorem for fuzzy differential equations
- On the modeling of moving populations through set evolution equations
- Stochastic morphological evolution equations
- Interval differential equations with a second type Hukuhara derivative
- On supported endographs and fuzzy sets
- Sendograph metric and relatively compact sets of fuzzy sets
- Bounded solutions for fuzzy differential and integral equations
- The Cauchy problem for fuzzy differential equations
- Mutational analysis. A joint framework for Cauchy problems in and beyond vector spaces
- Differential equations in metric spaces with applications
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Numerical solution of fuzzy differential equations under generalized differentiability
- The topological structure of fuzzy sets with endograph metric
- Topological properties of fuzzy numbers
- Functional viability theorems for differential inclusions with memory
- On the convergence of fuzzy sets
- Equations of attainable set dynamics. I: Integral Funnel equation
- Compact supported endographs and fuzzy sets
- Measurable functions and almost continuous functions
- Remarks on Peano-like theorems for fuzzy differential equations
- Mutational and morphological analysis. Tools for shape evolution and morphogenesis
- Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
- The Peano theorem for fuzzy differential equations revisited
- Existence and uniqueness theorem for a solution of fuzzy differential equations
- The Cauchy problem for continuous fuzzy differential equations
- Initial and boundary value problems for fuzzy differential equations.
- Existence and interrelation between set and fuzzy differential equations.
- Endographic approach on supremum and infimum of fuzzy numbers.
- Generating flows on metric spaces
- Fuzzy functional analysis. I: Basic concepts
- Strong invariance and one-sided Lipschitz multifunctions
- Interconnection between set and fuzzy differential equations
- On the compactness of fuzzy numbers with sendograph metric
- Quasi-flows and equations with nonlinear differentials
- Modern analysis and topology
- Regularity of solution sets for differential inclusions quasi-concave in a parameter
- On set differential equations in Banach spaces - a second type Hukuhara differentiability approach
- Some remarks on fuzzy differential equations via differential inclusions
- Fuzzy differential equations without fuzzy convexity
- Some results on boundary value problems for fuzzy differential equations with functional dependence
- Generalized differentiability of fuzzy-valued functions
- Mutational equations in metrics spaces
- Euler polygonal method for metric dynamical systems
- A note on fuzzy differential equations
- A theorem of existence of an optimal control for the Goursat-Darboux problem without convexity assumptions
- An Approach to Modelling and Simulation of Uncertain Dynamical Systems
- Functional differential inclusion with monotone right-hand side
- On the Arzela-Ascoli Theorem
- Weakly Differentiable Functions
- Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions
- A measurable upper semicontinuous viability theorem for tubes
- Discrete-Time Nonautonomous Dynamical Systems
- Fuzzy differential equations
- Set-valued analysis
- Viability theory
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