Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line

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dc.contributor.authorThi Van Anh, Nguyen
dc.contributor.authorBui Thi Hai, Yen
dc.date.accessioned2023-05-19T19:51:17Z
dc.date.available2023-05-19T19:51:17Z
dc.date.issued2023-01-20
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationThi 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16842
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHille-Yosida operators
dc.subjectNeutral differential inclusions
dc.subjectMultivalued maps
dc.subjectFixed point arguments
dc.subjectControllability
dc.titleExistence and controllability for neutral partial differential inclusions nondenselly defined on a half-line
dc.typeArticle

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