Existence of viable solutions for nonconvex differential inclusions
| dc.contributor.author | Bounkhel, Messaoud | |
| dc.contributor.author | Haddad, Tahar | |
| dc.date.accessioned | 2021-05-24T16:44:51Z | |
| dc.date.available | 2021-05-24T16:44:51Z | |
| dc.date.issued | 2005-05-11 | |
| dc.description.abstract | We show the existence result of viable solutions to the differential inclusion ẋ(t) ∈ G(x(t)) + F(t, x(t)) x(t) ∈ S on [0, T], where F : [0, T] x H → H (T > 0) is a continuous set-valued mapping, G : H → H is a Hausdorff upper semi-continuous set-valued mapping such that G(x) ⊂ ∂g(x), where g : H → ℝ is a regular and locally Lipschitz function and S is a ball, compact subset in a separate Hilbert space H. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bounkhel, M., & Haddad, T. (2005). Existence of viable solutions for nonconvex differential inclusions. <i>Electronic Journal of Differential Equations, 2005</i>(50), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13634 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Uniformly regular functions | |
| dc.subject | Normal cone | |
| dc.subject | Nonconvex differential inclusions | |
| dc.title | Existence of viable solutions for nonconvex differential inclusions | |
| dc.type | Article |