Set differential equations versus fuzzy differential equations

DOI10.1016/J.AMC.2004.06.068zbMath1079.34005OpenAlexW2031114673MaRDI QIDQ556044

V. Laksmikantham

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.068

zbMATH Keywords

differential inclusionsexistence of solutionsflow invariancefuzzy differential equationsset differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Evolution inclusions (34G25)

Related Items (19)

Stability criteria for set control differential equations ⋮ A procedure of complete averaging for fuzzy differential inclusions on a finite segment ⋮ Averaging of impulsive differential inclusions with fuzzy right-hand side when the average is absent ⋮ On solutions to set-valued and fuzzy stochastic differential equations ⋮ Existence and uniqueness theorem for set-valued Volterra–Hammerstein integral equations ⋮ Some results on sheaf-solutions of sheaf set control problems ⋮ Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane ⋮ Second type Hukuhara differentiable solutions to the delay set-valued differential equations ⋮ Solvability and stability of impulsive set dynamic equations on time scales ⋮ Almost periodicity of set-valued functions and set dynamic equations on time scales ⋮ The partial averaging of fuzzy differential inclusions on finite interval ⋮ On set differential equations in Banach spaces - a second type Hukuhara differentiability approach ⋮ Phase spaces and periodic solutions of set functional dynamic equations with infinite delay ⋮ Stability criteria for set dynamic equations on time scales ⋮ Stochastic integrals and stochastic equations in set-valued and fuzzy-valued frameworks ⋮ Properties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingales ⋮ Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations ⋮ Stability of set differential equations and applications ⋮ Exponential Behavior of Solutions to Stochastic Integrodifferential Equations with Distributed Delays

Cites Work

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• The Cauchy problem for fuzzy differential equations
• Metric spaces of fuzzy sets: Corrigendum
• Regularity of solution sets for differential inclusions quasi-concave in a parameter
• Qualitative properties of trajectories of control systems: a survey
• An Approach to Modelling and Simulation of Uncertain Dynamical Systems
• Fuzzy differential equations

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