Stopping time estimation of first order multidimensional interval-valued differential equations

Hongzhou Wang*, Rosana Rodríguez-López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Stopping time problem of first order multidimensional interval-valued dynamic system is discussed. By calculating stopping times of corresponding linear differential equations, we provide some estimation results of stopping times of forward and backward solutions to nonlinear interval-valued differential equations with respect to length or volume constraints. Then, stopping times of some linear and nonlinear interval-valued differential equations models, including predator-prey system, two species mutualism and competition systems, Lorenz equations, are studied as applications.

Original languageEnglish
Article number109260
JournalFuzzy Sets and Systems
Volume505
DOIs
Publication statusPublished - 1 Apr 2025

Keywords

  • Forward and backward solutions
  • gH-differentiability
  • Interval-valued differential equations
  • Stopping time

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Wang, H., & Rodríguez-López, R. (2025). Stopping time estimation of first order multidimensional interval-valued differential equations. Fuzzy Sets and Systems, 505, Article 109260. https://doi.org/10.1016/j.fss.2024.109260