CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (1): 1-5.

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CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

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.

Abstract

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

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

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CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT

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