On the solution existence for prox-regular perturbed sweeping processes
نویسندگان
چکیده
In the setting adopted by Edmond and Thibault [Mathematical Programming 104 (2005), 347--373], we study a class of perturbed sweeping processes. Under suitable assumptions, obtain two solution existence theorems for processes with constraint sets being prox-regular sublevel sets. The results are applied to analyzing behavior some concrete mechanical processes, which appear first time in this paper.
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ژورنال
عنوان ژورنال: Journal of nonlinear and variational analysis
سال: 2021
ISSN: ['2560-6778', '2560-6921']
DOI: https://doi.org/10.23952/jnva.5.2021.6.01