| 一类具有间断系数的线性双曲型方程组的Cauchy问题 |
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| 引用本文： | 单海燕,周继东. 一类具有间断系数的线性双曲型方程组的Cauchy问题[J]. 河海大学学报(自然科学版), 2006, 34(3): 349-352 |
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| 作者姓名： | 单海燕 周继东 |
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| 作者单位： | 河海大学理学院,江苏,南京,210098 |
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| 摘 要： | 将一类具有间断系数的线性双曲型方程组转化成等价的积分方程组,并通过逐次逼近法证明了其Cauchy问题一定存在着唯一的连续解,且此解在系数间断处可能存在弱间断,而在其他区域处处连续可微的结论.
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| 关 键 词： | Cauchy问题 特征线 双曲型方程组 积分方程组 |
| 文章编号： | 1000-1980（2006）03-0349-04 |
| 收稿时间： | 2004-12-29 |
| 修稿时间： | 2004-12-29 |
Cauchy problem for a class of linear hyperbolic equations with discontinuous coefficients |
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| SHAN Hai-yan,ZHOU Ji-dong. Cauchy problem for a class of linear hyperbolic equations with discontinuous coefficients[J]. Journal of Hohai University (Natural Sciences ), 2006, 34(3): 349-352 |
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| Authors: | SHAN Hai-yan ZHOU Ji-dong |
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| Affiliation: | College of Sciences, Hohai University, Nanjing 210098, China |
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| Abstract: | A class of linear hyperbolic equations with discontinuous coefficients was transformed into equivalent integral equations.By use of the method of successive approximations,it is verified that there exists a unique and continuous solution to Cauchy problem,and that the solution is continuously differentiable except some discontinuous points of coefficients. |
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| Keywords: | Cauchy problem characteristic line hyperbolic equations integral equations |
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