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- Title
Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces.
- Authors
Ouahab, Abdelghani
- Abstract
A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas (Résultats de type Leray-Schauder pour des contractions sur des espaces de Fréchet, Ann. Sci. Math. Québec 22, (2), 161–168 (1998)), combined with semigroup theory, is used to investigate the existence and uniqueness of mild solutions for first-and second-order functional semi linear and neutral damped differential equations in Fréchet space.
- Subjects
DIFFERENTIAL equations; NONLINEAR difference equations; FIXED point theory; FRECHET spaces; LINEAR operators
- Publication
Acta Mathematica Sinica, 2008, Vol 24, Issue 1, p95
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-007-0999-4