CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

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CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

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数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (1): 1-5.

• 论文 • 下一篇

路见可

Dept. of Mathematics, Wuhan University, Wuhan 430072, China

收稿日期:1992-09-13 出版日期:1995-03-25 发布日期:1995-03-25
基金资助:
Projects supported by the National Natural Science Foundation of China.

Lu Jianke

Dept. of Mathematics, Wuhan University, Wuhan 430072, China

Received:1992-09-13 Online:1995-03-25 Published:1995-03-25
Supported by:
Projects supported by the National Natural Science Foundation of China.

摘要： In As Paper,four kinds of integral equations of convolution type are solved,in which the reflection occurs,that is, besides the unknown f(t),f(-t)is also appeared. Moreover,it is mentioned that the methods or solution for two of them are still effective when translation shifts,i.e-,f(t+λ_j) or/and f(-t-μ_j),occur in addition.

关键词: convolution equation, Riemann boundary value problem, singular integral equation, reflection, translation shift

Abstract: In As Paper,four kinds of integral equations of convolution type are solved,in which the reflection occurs,that is, besides the unknown f(t),f(-t)is also appeared. Moreover,it is mentioned that the methods or solution for two of them are still effective when translation shifts,i.e-,f(t+λ_j) or/and f(-t-μ_j),occur in addition.

Key words: convolution equation, Riemann boundary value problem, singular integral equation, reflection, translation shift

路见可. CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT[J]. 数学物理学报(英文版), 1995, 15(1): 1-5.

Lu Jianke. CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT[J]. Acta mathematica scientia,Series B, 1995, 15(1): 1-5.

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