An identification problem for a semilinear evolution delay equation
| Autor: | Ioan I. Vrabie, Alfredo Lorenzi |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Partial differential equation
Elliptic partial differential equation Integro-differential equation Applied Mathematics Mathematical analysis First-order partial differential equation Delay differential equation Summation equation Universal differential equation Hyperbolic partial differential equation Mathematics |
| Zdroj: | Journal of Inverse and Ill-posed Problems. 22:209-244 |
| ISSN: | 1569-3945 0928-0219 |
| DOI: | 10.1515/jip-2013-0020 |
| Popis: | We prove the existence, uniqueness and continuous dependence on the data of a mild solution to an identification problem for a first-order semilinear delay differential equation in a Banach space subjected to an overdetermination expressed by means of an integral with respect to an absolutely continuous measure (with respect to the Lebesgue measure). Two applications to some identification problems, the first one for a parabolic delay equation and the second one for a hyperbolic delay equation, are also considered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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