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| 解一类抽象积—微分方程的积分半群方法 | |
| 引用本文： | 孙仁康 刘清荣. 解一类抽象积—微分方程的积分半群方法[J]. 纯粹数学与应用数学, 1993, 9(1): 95-99 |
| 作者姓名： | 孙仁康 刘清荣 |
| 作者单位： | 西北大学数学系，西北大学数学系 西安，710069，中国，西安，710069，中国 |
| 摘 要： | 在这篇文章内，研究一类含参数线性一算子族Ａ（ｔ）和线性算子Ｂ的积－微分方程，应用积分半群方法证明了该方程存在指数有界解，和含Ａ（ｔ），Ｂ的二阶微分方程存在指数有界和分解。这里Ａ（ｔ），Ｂ不必满足Ｈｉｌｌｅ－Ｙｏｓｉｄａ条件。 |
| 关 键 词： | 积分半群 积分微分方程 C0半群 线性算子 |
INTEGRETED SEMIGEOUP METHODS TO SOLVE A CLASS OF ABSTRACT INTEGRODIFFERENTIAL EQUATIONS |
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| LIU QINGRONG,SUN RENKANG. INTEGRETED SEMIGEOUP METHODS TO SOLVE A CLASS OF ABSTRACT INTEGRODIFFERENTIAL EQUATIONS[J]. Pure and Applied Mathematics, 1993, 9(1): 95-99 | |
| Authors: | LIU QINGRONG SUN RENKANG |
| Affiliation: | LIU QINGRONG,SUN RENKANG Department of Mathematics Northwest University,Xi'an Chian |
| Abstract: | In this paper a class of abstract integrodifferential equations with linear op-erator family A(t) and linear operater B in Banach space are studied. Using integratedsemigroup methods proved that a class of abstract integrodifferential equations and inte-gral equations exist exponentially bounded solutions, and that second order differentialequations and Cauchy problems exist exponentially bouded integrated solutions. Thoseequations include A(t) and B which not necessarily satisfy the Hille-Yosida condition andthe density of domain, but B generate integrated semigroup. |
| Keywords: | Integrated semigroup Abstract integrodifferential equations Integral equations Second order differential equation Cauchy problems |
| 本文献已被 CNKI 维普 等数据库收录！ | |