DOI: 10.3390/sym18111781 ISSN: 2073-8994

η-Stability of Uncertain Differential Equations in Banach Spaces

Leiming Mu, Zhi Li, Liping Xu
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This manuscript is concerned with a class of nonlinear uncertain evolution differential equations driven by a canonical process which is the twin of Brownian motion in the framework of uncertain theory. By using some Gronwall integral inequalities, we explore the uniform (practical) η-stability for the considered equations. Finally, some examples are provided to illustrate the applicability of the theoretical criteria.

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