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

被引:0
|
作者
Wang, Hongzhou [1 ]
Rodriguez-Lopez, Rosana [2 ,3 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, MIIT Key Lab Math Theory & Computat Informat Secur, Beijing Key Lab Math Characterizat Anal & Applicat, Beijing 100081, Peoples R China
[2] CITMAga, Santiago De Compostela 15782, Spain
[3] Univ Santiago de Compostela, Dept Estat Analise Matemat & Optimizac, Fac Matemat, Santiago De Compostela 15782, Spain
关键词
Stopping time; Interval-valued differential equations; Forward and backward solutions; gH-differentiability; BOUNDARY-VALUE-PROBLEMS; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION;
D O I
10.1016/j.fss.2024.109260
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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.
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页数:21
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