Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
| dc.contributor.author | Idczak, Dariusz | |
| dc.date.accessioned | 2021-08-27T17:22:59Z | |
| dc.date.available | 2021-08-27T17:22:59Z | |
| dc.date.issued | 2021-07-12 | |
| dc.description.abstract | In this article, we derive a sensitivity result for a nonlinear fractional ordinary elliptic system on a bounded interval with Dirichlet boundary conditions. More precisely, using a global implicit function theorem, we show that for each functional parameter there exists a unique solution, and that its dependence on the functional parameters is continuously differentiable. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Idczak, D. (2021). Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator. <i>Electronic Journal of Differential Equations, 2021</i>(64), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14474 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional Dirichlet-Laplace operator | |
| dc.subject | Palais-Smale condition | |
| dc.subject | Stone-von Neumann operator calculus | |
| dc.subject | Global implicit function theorem | |
| dc.title | Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator | |
| dc.type | Article |