Thi Van Anh, NguyenBui Thi Hai, Yen2023-05-192023-05-192023-01-20Thi Van Anh, N., & Thi Hai Yen, B. (2023). Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line. <i>Electronic Journal of Differential Equations, 2023</i>(07), pp. 1-23.1072-6691https://hdl.handle.net/10877/16842In this article, we study the existence of the integral solution to the neutral functional differential inclusion d/dt Dyt - ADyt - Lyt ∈ F(t, yt), for a.e. t ∈ J ≔ [0, ∞), y0 = φ ∈ CE = C([-r, 0]; E), r > 0, and the controllability of the corresponding neutral inclusion d/dt Dyt - ADyt - Lyt ∈ F(t, yt) + Bu(t), for a.e. t ∈ J, y0 - φ ∈ CE, on a half-line via the nonlinear alternative of Leray-Schauder type for contractive multivalued mappings given by Frigon. We illustrate our results with applications to a neutral partial differential inclusion with diffusion, and to a neutral functional partial differential equation with obstacle constrains.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalHille-Yosida operatorsNeutral differential inclusionsMultivalued mapsFixed point argumentsControllabilityArticle