| The Convergence Rate of Ergodic Limits for Regularized Resolvent Families |
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| 作者姓名： | 张寄洲 裔永刚 |
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| 作者单位： | Department of Applied Mathematics，Shanghai Normal University，Shanghai 200234professor，Department of Applied Mathematics，Shanghai Normal University，Shanghai 200234 |
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| 基金项目： | This project is supported by the Special Funds for Major Specialties of Shanghai Education Committee and the Natural Foundation ofShanghai City. |
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| 摘 要： | This paper is concerned with the convergence rates of ergodic limits and approximation for regularized resolvent families for a linear Volterra integral equation. The results contain C0-semigroups, cosine operator functions and α-times integrated resolvent family as special cases.
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The Convergence Rate of Ergodic Limits for Regularized Resolvent Families |
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| ZHANG Ji-zhou,YI Yong-gang.The Convergence Rate of Ergodic Limits for Regularized Resolvent Families[J].Journal of Donghua University,2004,21(6). |
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| Authors: | ZHANG Ji-zhou YI Yong-gang |
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| Institution: | Department of Applied Mathematics,Shanghai Normal University,Shanghai 200234 |
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| Abstract: | This paper is concerned with the convergence rates of ergodic limits and approximation for regularized resolvent families for a linear Volterra integral equation. The results contain C0-semigroups, cosine operator functions and α-times integrated resolvent family as special cases. |
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| Keywords: | Regularized resolvent families convergence ergodic limit K-functional |
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