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Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 54، دوره 14، شماره 1، فروردین 2023، صفحه 699-715 اصل مقاله (446.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24621.2783 | ||
| نویسنده | ||
| Soumia Saidi* | ||
| LMPA Laboratory, Department of Mathematics, Mohammed Seddik Benyahia University, Jijel, Algeria | ||
| تاریخ دریافت: 31 شهریور 1400، تاریخ بازنگری: 02 مهر 1400، تاریخ پذیرش: 20 شهریور 1401 | ||
| چکیده | ||
| The present work is concerned with a class of perturbed second-order differential inclusions driven by state-dependent maximal monotone operators, in the context of an infinite-dimensional framework. To prove our existence theorem, we make crucial use of a compactness type assumption on the domain of the operators and succeed in adapting to the second-order setting a discretization approach. An application of our main result to the theory of quasi-variational evolution inequalities is provided. | ||
| کلیدواژهها | ||
| Differential inclusion؛ second-order؛ maximal monotone operator؛ pseudo-distance؛ quasi-variational inequality | ||
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