Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space
| dc.contributor.author | Haddad, Tahar | |
| dc.contributor.author | Yarou, Mustapha | |
| dc.date.accessioned | 2021-07-15T19:04:25Z | |
| dc.date.available | 2021-07-15T19:04:25Z | |
| dc.date.issued | 2006-03-16 | |
| dc.description.abstract | We prove the existence of solutions to the differential inclusion ẍ(t) ∈ F(x(t), ẋ(t)) + ƒ(t, x(t), ẋ(t)), x(0) = x0, ẋ(0) = y0, where ƒ is a Carathéodory function and F with nonconvex values in a Hilbert space such that F(x, y) ⊂ γ(∂g(y)), with g a regular locally Lipschitz function and γ a linear operator. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Haddad, T., & Yarou, M. (2006). Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space. <i>Electronic Journal of Differential Equations, 2006</i>(33), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13906 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonconvex differential inclusions | |
| dc.subject | Uniformly regular functions | |
| dc.title | Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space | |
| dc.type | Article |