Existence and uniqueness of Cauchy problem for fuzzy differential equations under dissipative conditions

DOI10.1016/j.camwa.2005.12.001zbMath1157.34002OpenAlexW2079421577MaRDI QIDQ2475918

Cheng Wu, Shi-ji Song, Xiao-Ping Xue

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.12.001

zbMATH Keywords

existence and uniqueness theoremfuzzy differential equationsdissipative-type conditionsfuzzy number space \((E^n,D)\)

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fuzzy real analysis (26E50)

Related Items (11)

Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions ⋮ On fuzzy differential equations in the quotient space of fuzzy numbers ⋮ Global existence of solutions for fuzzy second-order differential equations under generalized \(H\)-differentiability ⋮ Strong solutions to stochastic fuzzy differential equations of Itô type ⋮ Fuzzy functional differential equations under dissipative-type conditions ⋮ A GENERALIZATION OF BIHARI'S INEQUALITY AND FUZZY RANDOM DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS ⋮ A class of linear differential dynamical systems with fuzzy initial condition ⋮ A class of linear differential dynamical systems with fuzzy matrices ⋮ Initial value problem for fuzzy differential equations under dissipative conditions ⋮ Existence of Solutions for the Fuzzy Functional Differential Equations ⋮ On fuzzy type-1 and type-2 stochastic ordinary and partial differential equations and numerical solution

Cites Work

• Unnamed Item
• Differentials of fuzzy functions
• The Cauchy problem for fuzzy differential equations
• Remarks on Peano-like theorems for fuzzy differential equations
• Existence of solutions of fuzzy differential equations with parameters
• On the validity of the Peano theorem for fuzzy differential equations
• Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
• The Cauchy problem for continuous fuzzy differential equations
• On embedding problems of fuzzy number space. V
• Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations
• An Embedding Theorem for Spaces of Convex Sets
• Fuzzy random variables
• Fuzzy differential equations

This page was built for publication: Existence and uniqueness of Cauchy problem for fuzzy differential equations under dissipative conditions