Differential equations with a difference quotient
| dc.contributor.author | Street, Brian | |
| dc.date.accessioned | 2022-07-27T18:45:24Z | |
| dc.date.available | 2022-07-27T18:45:24Z | |
| dc.date.issued | 2017-09-21 | |
| dc.description.abstract | The purpose of this paper is to study a class of ill-posed differential equations. In some settings, these differential equations exhibit uniqueness but not existence, while in others they exhibit existence but not uniqueness. An example of such a differential equation, is for a polynomial P and continuous functions ƒ(t, x) : [0, 1] x [0, 1] → ℝ, ∂/∂t ƒ(t, x) = P(ƒ(t, x)) - P(ƒ(t, 0))/x, x > 0. These differential equations are related to inverse problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 42 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Street, B. (2017). Differential equations with a difference quotient. <i>Electronic Journal of Differential Equations, 2017</i>(227), pp. 1-42. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15996 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Ill-posed | |
| dc.subject | Differential equation with difference quotient | |
| dc.subject | Existence without uniqueness | |
| dc.subject | Uniqueness without existence | |
| dc.subject | Inverse problem | |
| dc.title | Differential equations with a difference quotient | |
| dc.type | Article |