Interval Cauchy problem with a second type Hukuhara derivative
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Publication:1761609
DOI10.1016/j.ins.2012.05.022zbMath1257.34011OpenAlexW2078542729MaRDI QIDQ1761609
Publication date: 15 November 2012
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2012.05.022
existenceapproximate solutionsinitial value problemsecond type Hukuhara derivativeinterval difference equations
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random fuzzy differential equations under generalized Lipschitz condition
- A note on convergence properties of interval-valued capacity functionals and Choquet integrals
- Variation of constant formula for first order fuzzy differential equations
- The Henstock-Stieltjes integral for fuzzy-number-valued functions
- Generalized derivative and \(\pi \)-derivative for set-valued functions
- An approach to pseudo-integration of set-valued functions
- Interval differential equations with a second type Hukuhara derivative
- Stability criteria for set differential equations
- First order linear fuzzy differential equations under generalized differentiability
- Some results on sheaf-solutions of sheaf set control problems
- On new solutions of fuzzy differential equations
- Solutions of fuzzy differential equations based on generalized differentiability
- Nonlinear variation of parameters formula for set differential equations in a metric space
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Stability of set differential equations and applications
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations
- A calculus for set-valued maps and set-valued evolution equations
- Stability criteria for set control differential equations
- Monotone iterative technique for periodic boundary value problems with causal operators
- Set Differential Equations and Flow Invariance
- Impulsive set differential equations with delay
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