Fetouci, NoraYarou, Mustapha2023-06-132023-06-132016-02-10Fetouci, N., & Yarou, M. F. (2016). Existence of solutions to differential inclusions with primal lower nice functions. Electronic Journal of Differential Equations, 2016(48), pp. 1-9.1072-6691https://hdl.handle.net/10877/16922We prove the existence of absolutely continuous solutions to the differential inclusion ẋ(t) ∈ F(x(t)) + h(t, x(t)), where F is an upper semi-continuous set-valued function with compact values such that F(x, t)) ⊂ ∂ƒ(x(t)) on [0, T], where ƒ is a primal lower nice function, and h a single valued Carathéodory perturbation.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalEvolution problemDifferential inclusionPrimal lower nice functionsCaratheodory perturbationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.