Fuzzy Optimization and Decision Making

, Volume 9, Issue 1, pp 69–81 | Cite as

Existence and uniqueness theorem for uncertain differential equations

Article

Abstract

Canonical process is a Lipschitz continuous uncertain process with stationary and independent increments, and uncertain differential equation is a type of differential equations driven by canonical process. This paper presents some methods to solve linear uncertain differential equations, and proves an existence and uniqueness theorem of solution for uncertain differential equation under Lipschitz condition and linear growth condition.

Keywords

Uncertain process Differential equation Existence and uniqueness theorem 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Uncertainty Theory Laboratory, Department of Mathematical SciencesTsinghua UniversityBeijingChina

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