Existence of solutions to a self-referred and hereditary system of differential equations
| dc.contributor.author | Pascali, Eduardo | |
| dc.date.accessioned | 2021-07-14T15:38:43Z | |
| dc.date.available | 2021-07-14T15:38:43Z | |
| dc.date.issued | 2006-01-16 | |
| dc.description.abstract | We establish the existence and uniqueness of a local solution for the system of differential equations ∂/∂t u(x, t) = u(v(∫t0 u(x, s)ds, t), t) ∂/∂t v(x, t) = v(u(∫t0 v(x, s)ds, t), t). with given initial conditions u(x, 0) = u0(x) and v(x, 0) = v0(x). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Pascali, E. (2006). Existence of solutions to a self-referred and hereditary system of differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(07), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13880 | |
| 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 | Non-linear evolution systems | |
| dc.subject | Hereditary systems | |
| dc.title | Existence of solutions to a self-referred and hereditary system of differential equations | |
| dc.type | Article |