| 一类Banach空间中的完全二阶线性微分方程的适定性和指数增长性 |
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| 引用本文： | 肖体俊,梁进.一类Banach空间中的完全二阶线性微分方程的适定性和指数增长性[J].四川大学学报(自然科学版),1990(4). |
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| 作者姓名： | 肖体俊 梁进 |
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| 作者单位： | 四川大学数学系
(肖体俊)，四川大学数学系(梁进) |
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| 摘 要： | 讨论了A为有界线性算子情形下的Banach空间中的完全二阶线性微分方程的Cauchy问题的适定性和解的指数增长性,得到了一些充分必要条件.
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| 关 键 词： | Banach空间 有界线性算子 完全二阶线性微分方程 Cauchy问题 |
ON THE WELL-POSEDNESS AND THE EXPONENTIAL GROWTH OF SOLUTIONS OF SOME COMPLETE SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE |
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| Xiao Tijun Liang Jin.ON THE WELL-POSEDNESS AND THE EXPONENTIAL GROWTH OF SOLUTIONS OF SOME COMPLETE SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE[J].Journal of Sichuan University (Natural Science Edition),1990(4). |
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| Authors: | Xiao Tijun Liang Jin |
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| Institution: | Department of Mathematics |
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| Abstract: | We discuss the well-posedness of Cauchy problems and the exponenlial growth of solutions for the complete second order linear differential equation u+Bu+Au=0 under the assumption that A is bounded, and obtain some sufficient and necessary conditions. |
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| Keywords: | Banach space bounded linear operator complete second order linear differential equation Cauchy problem |
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