Continuous dependence theorems on solutions of uncertain differential equations

  • Yuan Gao
  • , Kai Yao*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In ordinary differential equation (ODE) and stochastic differential equation (SDE), the solution continuously depends on initial value and parameter under some conditions. This paper investigates the analogous continuous dependence theorems in uncertain differential equation (UDE). It proves two continuous dependence theorems, a basic one and a general one.

Original languageEnglish
Pages (from-to)3031-3037
Number of pages7
JournalApplied Mathematical Modelling
Volume38
Issue number11-12
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Uncertain calculus
  • Uncertain differential equations
  • Uncertainty theory

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