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- Title
Identification of a Source Term in a Semilinear Evolution Delay Equation.
- Authors
Lorenzi, Alfredo; Vrabie, Ioan I.
- Abstract
An existence, uniqueness and continuous dependence on the data result for a source term identification problem in a semilinear functional delay differential equation in a general Banach space is established. As additional condition, it is assumed that the mean of the solution, with respect to a non-atomic Borel measure, is a preassigned element in the domain of the linear part of the right-hand side of the equation. Two applications to source identification, one in a parabolic functional delay equation and another one in a hyperbolic delay equation, are also discussed.
- Subjects
SEMIGROUPS (Algebra); GROUP theory; ABELIAN semigroups; HYPERBOLIC differential equations; PARTIAL differential equations
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2015, Vol 61, Issue 1, p1
- ISSN
1221-8421
- Publication type
Article
- DOI
10.2478/aicu-2013-0003