| 一类非齐次抽象Cauchy问题的适定性 |
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| 引用本文： | 张显文. 一类非齐次抽象Cauchy问题的适定性[J]. 信阳师范学院学报(自然科学版), 1992, 5(4): 368-374 |
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| 作者姓名： | 张显文 |
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| 摘 要： | 本文讨论了一类抽象Cauchy问题的适定性，首先我们证明了解的唯一性，接着给出了解的存在性的一些充要条件和充分条件；最后还讨论了强解的存在性条件。
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| 关 键 词： | 初值问题 适定性 |
Property Poned for a Class of Non-homogeneous Abstract Cauchy Problem |
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| Zhang Xianwen. Property Poned for a Class of Non-homogeneous Abstract Cauchy Problem[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1992, 5(4): 368-374 |
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| Authors: | Zhang Xianwen |
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| Affiliation: | Zhang Xianwen |
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| Abstract: | In this paper, the property ponedness for a class of nouhom-ogencous abstract Cauchyproblem is considered . First, we prove the uniqueness of solut ion. Then, We give some necessary and sufficient conditions as well as some sufficient conditions for the existence of a solution. At last, the conditions for the existence of a strong solution is also considered. |
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| Keywords: | Exponentially bounded C-semigroups nonfinitesimal generators non-homogeneous abstract cauchy problem property poled strong solution |
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