| 扰动双参数C_0半群的直接范数连续性 |
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| 引用本文： | 宋学力,彭济根.扰动双参数C_0半群的直接范数连续性[J].数学的实践与认识,2010,40(2). |
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| 作者姓名： | 宋学力 彭济根 |
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| 作者单位： | 1. 长安大学理学院,西安,710064;西安交通大学理学院,西安,710049
2. 西安交通大学理学院,西安,710049 |
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| 摘 要： | 双参数半群理论是研究Markov过程的一种重要方法.本文首先证明了双参数C_0半群在有界扰动下生成一个双参数C_0半群;其次证明了如果双参数C_0半群是直接范数连续的,那么在有界扰动下生成的双参数C_0半群也是直接范数连续的.
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| 关 键 词： | 双参数C_0半群 有界扰动 直接范数连续性 Markov过程 |
Immediate Norm Continuity of Perturbed Two-parameter C0 Semigroups |
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| SONG Xue-li,PENG Ji-gen.Immediate Norm Continuity of Perturbed Two-parameter C0 Semigroups[J].Mathematics in Practice and Theory,2010,40(2). |
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| Authors: | SONG Xue-li PENG Ji-gen |
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| Institution: | SONG Xue-li~(1,2),PENG Ji-gen~2 (1.School of Science,Chang\'an University,Xi\'an 710064,China) (2.College of Science,Xi\'an Jiaotong University,Xi\'an 710049,China) |
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| Abstract: | Theory of two-parameter semigroups is an important method to investigate Markov process.Firstly,we prove that the perturbations of two-parameter C_0 semigroups by bounded operators are two-parameterC_0 semigroups.Secondly,we prove that the perturbed two-parameterC_0 semigroups inherit the immediately norm continuity of the original semigroups. |
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| Keywords: | two-parameter c_0 semigroups bounded perturbation immediate norm continuity markov process |
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