Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces
| dc.contributor.author | Azzam-Laouir, Dalila | |
| dc.contributor.author | Boutana, Imen | |
| dc.date.accessioned | 2021-08-19T15:44:25Z | |
| dc.date.available | 2021-08-19T15:44:25Z | |
| dc.date.issued | 2007-12-06 | |
| dc.description.abstract | This paper provide some applications of Pettis integration to differential inclusions in Banach spaces with three point boundary conditions of the form ü(t) ∈ F(t, u(t), u̇(t)) + H(t, u(t), u̇(t)), a.e. t ∈ [0, 1], where F is a convex valued multifunction upper semicontinuous on E x E and H is a lower semicontinuous multifunction. The existence of solutions is obtained under the non convexity condition for the multifunction H, and the assumption that F(t, x, y) ⊂ Γ1(t), H(t, x, y) ⊂ Γ2(t), where the multifunctions Γ1, Γ2 : [0, 1] ⇉ E are uniformly Pettis integrable. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Azzam-Laouir, D., & Boutana, I. (2007). Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces. <i>Electronic Journal of Differential Equations, 2007</i>(173), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14392 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Differential inclusions | |
| dc.subject | Pettis-integration | |
| dc.subject | Selections | |
| dc.title | Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces | |
| dc.type | Article |