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.
Saidi, S. (2023). Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations. International Journal of Nonlinear Analysis and Applications, 14(1), 699–715. https://doi.org/10.22075/ijnaa.2022.24621.2783
MLA
Saidi, S. "Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 699–715. doi: 10.22075/ijnaa.2022.24621.2783
HARVARD
Saidi, S. (2023). 'Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 699–715. doi: 10.22075/ijnaa.2022.24621.2783
CHICAGO
Saidi, S., "Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 699–715, doi: 10.22075/ijnaa.2022.24621.2783
VANCOUVER
Saidi S. Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations. IJNAA. 2023;14(1):699–715. doi: 10.22075/ijnaa.2022.24621.2783
International Journal of Nonlinear Analysis and Applications