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.
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}.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2010年第4期605-608,共4页
Journal of Jilin University:Science Edition
基金
吉林省科技发展计划重点项目(批准号:[吉科合字]20065017)
关键词
正则化
RIEMANN边值问题
卷积核
完全奇异积分方程
regularization
Riemann boundary value problem
convolution nucleus
completely singular integral equation
