| 广义解空间及其在积分C半群上的应用 |
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| 引用本文： | 曾静,李扬荣. 广义解空间及其在积分C半群上的应用[J]. 西南师范大学学报(自然科学版), 2003, 28(5): 682-686 |
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| 作者姓名： | 曾静 李扬荣 |
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| 作者单位： | 西南师范大学,数学与财经学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目(19871067). |
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| 摘 要： | 以广义解空间为工具，研究抽象柯西问题与积分C-半群的关系．证明了ACPh l存在唯一的解对应A有-k-次积分C-半群；进一步，还给出了积分C-半群生成元的广义解空间的表示．
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| 关 键 词： | 广义解空间 积分C-半群 抽象柯西问题 k-次积分C-半群 Frechet空间 |
The Generalized Solution Space and Its Applications to Integrated C-semigroups |
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| ZENGJing,LI Yang-rong School of Mathematics and Finance,Southwest China Normal University,Chongqing ,China. The Generalized Solution Space and Its Applications to Integrated C-semigroups[J]. Journal of southwest china normal university(natural science edition), 2003, 28(5): 682-686 |
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| Authors: | ZENGJing LI Yang-rong School of Mathematics Finance Southwest China Normal University Chongqing China |
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| Affiliation: | ZENGJing,LI Yang-rong School of Mathematics and Finance,Southwest China Normal University,Chongqing 400715,China |
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| Abstract: | By using the generalized solution space, we investigate the abstract Cauchy problem and integrated C-semigroups, and prove that the existence of a unique solution of ACP_(k+1) is equivalent to A having a k-times integrated C-semigroup; moreover, we give the characterization of generalized solution space of integrated C-semigroups. |
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| Keywords: | Abstract Cauchy problem Generalized solution space Integrated C semigroup |
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