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. doi: 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
S Saidi, "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