Canonical process is an uncertain process with stationary and independent normal increments, and the uncertain differential equation is a differential equation driven by canonical process. So far, the concept of stability in measure for uncertain differential equations has been proposed. This paper presents a concept of stability in mean for uncertain differential equations, and it gives a sufficient condition for an uncertain differential equation being stable in mean. In addition, it discusses the relationship between stability in mean and stability in measure.
机构:
Tongji Univ, Sch Econ & Management, Shanghai, Peoples R ChinaTongji Univ, Sch Econ & Management, Shanghai, Peoples R China
Ma, Weimin
Liu, Liying
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Tongji Univ, Sch Econ & Management, Shanghai, Peoples R China
Liaocheng Univ, Sch Math Sci, Liaocheng, Peoples R ChinaTongji Univ, Sch Econ & Management, Shanghai, Peoples R China
Liu, Liying
Zhang, Xingfang
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Liaocheng Univ, Sch Math Sci, Liaocheng, Peoples R ChinaTongji Univ, Sch Econ & Management, Shanghai, Peoples R China