Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line
dc.contributor.author | Thi Van Anh, Nguyen | |
dc.contributor.author | Bui Thi Hai, Yen | |
dc.date.accessioned | 2023-05-19T19:51:17Z | |
dc.date.available | 2023-05-19T19:51:17Z | |
dc.date.issued | 2023-01-20 | |
dc.description.abstract | In 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 23 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Thi Van Anh, N., & Thi Hai Yen, B. (2023). Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line. Electronic Journal of Differential Equations, 2023(07), pp. 1-23. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16842 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Hille-Yosida operators | |
dc.subject | Neutral differential inclusions | |
dc.subject | Multivalued maps | |
dc.subject | Fixed point arguments | |
dc.subject | Controllability | |
dc.title | Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line | |
dc.type | Article |