New stability theorems of uncertain differential equations with time-dependent delay

• Published in: AIMS mathematics Vol. 6; no. 1; pp. 623 - 642
• Main Authors: Jia, Zhifu, Liu, Xinsheng
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: stability almost surely; stability in distribution; stability in p-th moment; uncertain differential equations with time-dependent delay
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2021038

Stability in measure and stability in mean for uncertain differential equations with time-dependent delay have been investigated, which are not applicable for all situations, for the sake of completeness, this paper mainly gives the concepts of stability almost surely, in p-th moment and in distribution, and proves the sufficient conditions for uncertain differential equations with time-dependent delay being stable almost surely, in p-th moment and in distribution, respectively. In addition, the relationships among stability in measure, stability in p-th moment, and stability in distribution for the uncertain differential equation with time-dependent delay are also discussed.