含卷积核的完全奇异积分-微分方程的求解

J4 ›› 2010, Vol. 07 ›› Issue (4): 605-608.

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Solution of Completely Singular IntegralDifferential Equationwith Convolution Nucleus

SUN Fengqi^1,2

1. Institute of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of Systems Science, Northeastern University, Shenyang 110004, China

Received:2009-12-18 Online:2010-07-26 Published:2011-06-14
Contact: SUN Fengqi E-mail:jlsdsfq@163.com

Abstract

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}.

Key words: regularization, Riemann boundary value problem, convolution nucleus, completely singular integral equation

CLC Number:

O175.6

SUN Feng-Qi. Solution of Completely Singular IntegralDifferential Equationwith Convolution Nucleus[J].J4, 2010, 07(4): 605-608.

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Solution of Completely Singular IntegralDifferential Equationwith Convolution Nucleus

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