| 含卷积核的完全奇异积分-微分方程的求解 |
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| 引用本文： | 孙凤琪. 含卷积核的完全奇异积分-微分方程的求解[J]. 吉林大学学报(理学版), 2010, 48(4): 605-608 |
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| 作者姓名： | 孙凤琪 |
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| 作者单位： | 1. 吉林师范大学 数学研究所, 吉林 四平 136000； 2. 东北大学 系统科学研究所, 沈阳 110004 |
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| 基金项目： | 吉林省科技发展计划重点项目 |
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| 摘 要： | 研究一类既含卷积核又有微分的完全奇异积分方程求解问题,先通过积分变换将原方程转化为非正则的完全奇异积分方程,再进一步转化为无穷直线上的Riemann边值问题,并由具有间断系数的Riemann问题,得到原积分方程在{0}类中的可解条件及一般解的显式.
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| 关 键 词： | 正则化 Riemann边值问题 卷积核 完全奇异积分方程 |
| 收稿时间： | 2009-12-18 |
Solution of Completely Singular Integral-Differential Equation with Convolution Nucleus |
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| SUN Feng-qi. Solution of Completely Singular Integral-Differential Equation with Convolution Nucleus[J]. Journal of Jilin University: Sci Ed, 2010, 48(4): 605-608 |
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| Authors: | SUN Feng-qi |
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| Affiliation: | 1. Institute of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of Systems Science, Northeastern University, Shenyang 110004, China |
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| Abstract: | The present paper deals with a class of completely singular integral differential equations with convolution nucleus. The original equation will be converted into a singular integral equation and further into a Riemann boundary value problem on an infinite straight line, and then the solution conditions and the explicit of general solution
are obtained in {0}. |
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| Keywords: | regularization Riemann boundary value problem convolution nucleus completely singular integral equation |
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