Existence and stability for some partial functional differential equations with infinite delay
| dc.contributor.author | Ezzinbi, Khalil ( ) | |
| dc.date.accessioned | 2021-01-29T13:35:55Z | |
| dc.date.available | 2021-01-29T13:35:55Z | |
| dc.date.issued | 2003-11-26 | |
| dc.identifier.citation | Ezzinbi, K. (2003). Existence and stability for some partial functional differential equations with infinite delay. Electronic Journal of Differential Equations, 2003(116), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13167 | |
| dc.description.abstract | We study the existence, regularity, and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition on a Banach space X. The nonlinear term takes its values in space larger than X, namely the extrapolated Favard class of the extrapolated semigroup corresponding to the linear part. Our approach is based on the theory of the extrapolation spaces. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Hille-Yosida operator | en_US |
| dc.subject | Extrapolation spaces | en_US |
| dc.subject | Favard class | en_US |
| dc.subject | Regularity | en_US |
| dc.subject | Partial functional differential equations | en_US |
| dc.subject | Infinite delay | en_US |
| dc.subject | Mild solution | en_US |
| dc.subject | Linearized stability | en_US |
| dc.title | Existence and stability for some partial functional differential equations with infinite delay | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
