On set differential equations in Banach spaces - a second type Hukuhara differentiability approach

DOI10.1016/j.amc.2012.06.019zbMath1297.34073OpenAlexW2083592048MaRDI QIDQ2249029

Marek T. Malinowski

Publication date: 27 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.019

zbMATH Keywords

comparison principleglobal solutionexistence and uniqueness theoremlocal solutionsecond type Hukuhara derivativeset differential equation in Banach space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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Cites Work

• Second type Hukuhara differentiable solutions to the delay set-valued differential equations
• Set differential equations versus fuzzy differential equations
• Interval differential equations with a second type Hukuhara derivative
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• Dynamics and stability of impulsive hybrid set-valued integro-differential equations with delay
• The monotone iterative technique for impulsive hybrid set valued integro-differential equations
• 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
• Existence and interrelation between set and fuzzy differential equations.
• Interval Cauchy problem with a second type Hukuhara derivative
• Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations
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