| 关于非齐次柯西问题的强解 |
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| 引用本文： | 高德智.关于非齐次柯西问题的强解[J].应用泛函分析学报,2004,6(1):48-51. |
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| 作者姓名： | 高德智 |
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| 作者单位： | 山东科技大学信息科学与工程学院,山东,泰安,271019 |
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| 摘 要： | 利用自反Banach空间中弱紧算子的因子分解技巧，对于一类非齐次项具有连续Lipschitz扰动的柯西问题，当其齐次项算子生成强连续算子半群且具有紧豫解式限制时，证明了方程强解的存在性．
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| 关 键 词： | 非齐次柯西问题 自反Banach空间 弱紧算子 因子分解 Lipschitz扰动 |
On the Strong Solution of Inhomogeneous Cauchy Problem |
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| GAO De-zhi.On the Strong Solution of Inhomogeneous Cauchy Problem[J].Acta Analysis Functionalis Applicata,2004,6(1):48-51. |
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| Authors: | GAO De-zhi |
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| Institution: | GAO De-zhi Information Science and Engineering College,Shandong University of Science and Technology,Taian Shandong 271019,China |
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| Abstract: | Using the technique of factoring weakly compact operators though reflexive Banach spaces, this note proves that a class of ordinary differential equations with Lipschitz continuous perturbations has a strong solution when the problem is governed by a closed operator with compact resolvent. |
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| Keywords: | C_0-semigroup compact resolvent Lipschitz continuous function |
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