On the structure of solutions for fuzzy initial value problem

DOI10.1016/j.fss.2005.06.009zbMath1093.34005OpenAlexW2020795262MaRDI QIDQ812611

Yongqiang Fu, Xiao-Ping Xue

Publication date: 24 January 2006

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2005.06.009

zbMATH Keywords

differential inclusionset differential equationsfuzzy initial value problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Applications of set theory (03E75)

Related Items

Existence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiability, Two-point boundary value problems of undamped uncertain dynamical systems, Numerical solution of fuzzy differential equations by predictor-corrector method, On the structural stability for two-point boundary value problems of undamped fuzzy differential equations, Periodic problems of first order uncertain dynamical systems, Two-point boundary value problems of uncertain dynamical systems, On set-valued stochastic integrals and fuzzy stochastic equations, Some topological properties of solutions to fuzzy differential systems, A new method for solving differential equations with vague parameters, The structure stability of periodic solutions for first-order uncertain dynamical systems, Fuzzy differential equations for universal oscillators, Initial value problem for second-order random fuzzy differential equations, Initial value problem for fuzzy differential equations under dissipative conditions, Improved predictor-corrector method for solving fuzzy initial value problems, Comparation between some approaches to solve fuzzy differential equations, On a class of fuzzy functional differential equations, Local and global existence and uniqueness of solution for class of fuzzy fractional functional evolution equation

Cites Work

• Differentials of fuzzy functions
• The Cauchy problem for fuzzy differential equations
• On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
• On the fuzzy initial value problem
• Remarks on Peano-like theorems for fuzzy differential equations
• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• On the convergence and representation of random fuzzy number integrals
• Carathéodory solutions of fuzzy differential equations
• Existence and interrelation between set and fuzzy differential equations.
• A stacking theorem approach for fuzzy differential equations.
• Global existence of solutions to fuzzy differential equations
• Interconnection between set and fuzzy differential equations
• Random fuzzy number integrals in Banach spaces
• Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
• Regularity of solution sets for differential inclusions quasi-concave in a parameter
• Impulsive functional differential inclusions and fuzzy population models
• An Approach to Modelling and Simulation of Uncertain Dynamical Systems
• Fuzzy random variables
• Fuzzy differential equations
• Set-valued analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item