| Some Uniqueness Results for Functional Damped Semilinear Differential Equations in Frechet Spaces |
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| 作者姓名： | Abdelghani OUAHAB |
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| 作者单位： | Laboratoire de Mathematiques, Universitd de Sidi Bel Abbes BP 89, 22000 Sidi Bel Abbes, Algerie |
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| 基金项目： | Supported by laboratory of mathematics of Sidi Bel AbbesAcknowledgements We thank J. K. Hal and Mustapha Mchab for their remarks and support, and also we would like to thank the editor and anonymous referee for their constructive comments and suggestions for improving the quality of our work. |
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| 摘 要： | A recent nonlinear alternative for contraction maps in Frechet spaces due to Frigon and Granas （Resultats de type Leray-Schauder pour des contractions sur des espaces de Frechet, Ann. Sci. Math. Quebec 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 Frechet space.
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| 关 键 词： | 微分方程式 阻尼系数 半群组 功能性函数 |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2006-09-21 |
Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces |
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| Abdelghani OUAHAB.Some Uniqueness Results for Functional Damped Semilinear Differential Equations in Frechet Spaces[J].Acta Mathematica Sinica,2008,24(1):95-106. |
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| Authors: | Abdelghani Ouahab |
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| Institution: | (1) Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algérie |
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| 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.
Supported by laboratory of mathematics of Sidi Bel Abbes |
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| Keywords: | differential equations damped semigroup family cosinus mild solution fixed point uniqueness Frechet spaces contraction |
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