Abstract
In this paper we establish, in a separable Hilbert space, a result asserting the existence of absolutely continuous solutions for a system made up of a first-order differential inclusion governed by time and state-dependent maximal monotone operators; and an ordinary differential equation. From this result, we derive existence of absolutely continuous solutions to a second-order differential inclusion governed by time and state-dependent maximal monotone operators.
Citation
Messaouda Benguessoum. Dalila Azzam-Laouir. "On first and second-order perturbed differential inclusions governed by maximal monotone operators." Topol. Methods Nonlinear Anal. Advance Publication 1 - 21, 2024. https://doi.org/10.12775/TMNA.2023.032
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