| m次积分半群逼近及在抽象Cauchy问题中的应用 |
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| 引用本文： | 刘敬怀,宋晓秋.m次积分半群逼近及在抽象Cauchy问题中的应用[J].数学的实践与认识,2022(1):245-251. |
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| 作者姓名： | 刘敬怀 宋晓秋 |
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| 作者单位： | 1.郑州航空工业管理学院数学学院;2.中国矿业大学数学学院 |
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| 基金项目： | 国家自然科学基金(11226337);航空科学基金(2017ZD55014);河南省高校重点科研项目(16A110024)。 |
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| 摘 要： | 研究了指数有界的m次积分半群的离散逼近问题,利用可积的离散参数半群,获得了相关离散逼近结果.另外,给出了该逼近理论在非齐次抽象Cauchy问题中的应用.
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| 关 键 词： | m次积分半群 离散逼近 抽象Cauchy问题 |
m-times Integrated Semigroups Approximations with Applications to The Abstract Cauchy Problem |
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| LIU Jing-huai,SONG Xiao-qiu.m-times Integrated Semigroups Approximations with Applications to The Abstract Cauchy Problem[J].Mathematics in Practice and Theory,2022(1):245-251. |
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| Authors: | LIU Jing-huai SONG Xiao-qiu |
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| Affiliation: | (School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China;School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China) |
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| Abstract: | In this paper,we discuss the approximation of the exponentially bounded m-times integrated semigroups.By using the theorems of integrated discrete parameter semigroups,we obtain the discrete approximation theorem.Moreover,we present an application to inhomogeneous Cauchy problem. |
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| Keywords: | m-times integrated semigroups discrete approximation abstract cauchy problem |
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