| CONSTRUCTION OF SOLUTION FOR EVOLUTION EQUATION xttt＋iCx=f |
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| 作者姓名： | Zhang Lixun Liu Yongzhi Wang Kangning |
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| 作者单位： | [1]School of Optic-electronic Information, UESTC, Chengdu 610054, China [2]School of Applied Mathematics, UESTC, Chengdu 610054, China |
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| 摘 要： | The construction of solution for three-order evolution equation xttt=A^3x is skillfully obtained and the semigroup of equation operator is theoretically proved,then the solution for three-order evolution equation xttt＋iCx=f is constructed from the appropriate transformation, and the necessary and sufficient conditions of its unitary semigroup are presented.
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| 关 键 词： | Hilbert空间 半群 进化方程 时滞系统 泛函微分方程 |
| 收稿时间： | 2004-12-14 |
Construction of solution for evolution equation x
ttt
Cx=f |
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| Zhang Lixun Liu Yongzhi Wang Kangning.Construction of solution for evolution equation x
ttt
Cx=f[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1):41-44. |
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| Authors: | Zhang Lixun Liu Yongzhi Wang Kangning |
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| Institution: | (1) School of Optic-electronic Information, UESTC, 610054 Chengdu, China;(2) School of Applied Mathematics, UESTC, 610054 Chengdu, China |
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| Abstract: | . The construction of solution for three-order evolution equation x_ ttt =A3x is skillfully obtained and the semigroup of equation operator is theoretically proved,then the solution for three-order evolution equation x_ ttt +iCx=f is constructed from the appropriate transformation,and the necessary and sufficient conditions of its unitary semigroup are presented. |
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| Keywords: | Hilbert space generating operator semigroup |
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