Existence and uniqueness of solutions for a second-order iterative boundary-value problem
| dc.contributor.author | Kaufmann, Eric R. | |
| dc.date.accessioned | 2022-02-22T18:28:12Z | |
| dc.date.available | 2022-02-22T18:28:12Z | |
| dc.date.issued | 2018-08-08 | |
| dc.description.abstract | We consider the existence and uniqueness of solutions to the second-order iterative boundary-value problem x″(t) = ƒ(t, x(t), x[2](t)), α ≤ t ≤ b, where x[2](t) = x(x(t)), with solutions satisfying one of the boundary conditions x(α) = α, x(b) = b or x(α) = b, x(b) = α. The main tool employed to establish our results is the Schauder fixed point theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kaufmann, E. R. (2018). Existence and uniqueness of solutions for a second-order iterative boundary-value problem. <i>Electronic Journal of Differential Equations, 2018</i>(150), pp. 1-6. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15399 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Iterative differential equation | |
| dc.subject | Schauder fixed point theorem | |
| dc.subject | Contraction mapping principle | |
| dc.title | Existence and uniqueness of solutions for a second-order iterative boundary-value problem | |
| dc.type | Article |