A kind of Fredholm type weak singular kernel integral equation with triangle function as free term

Wang Li-Min; Ren Chuan-Bo; Xu Shi-Lang; Zhao Xi-Qiang

doi:10.7498/aps.55.543

Abstract
For a type of Fredholm integral equation with weak singularity integral kernel of logarithm function, the exact solutions is deduced through a calculus procedure when the free term is a triangle function. The singular character of solution is also analyzed when the variable is approaching the extreme points.

Keywords:
Fredholm integral equation /

weak singular integral kernel /

singular character of function
Authors and contacts
Wang Li-Min²,

Ren Chuan-Bo²,

Xu Shi-Lang¹,

Zhao Xi-Qiang³

(1)大连理工大学土木工程系，大连 116024; (2)山东理工大学交通与车辆学院力学部，淄博 255049; (3)中国海洋大学数学系，青岛 266003
References

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Vol. 55, Issue 2 - 2006-01-20

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A kind of Fredholm type weak singular kernel integral equation with triangle function as free term

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A kind of Fredholm type weak singular kernel integral equation with triangle function as free term

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