Open AccessA kind of Fredholm type weak singular kernel integral equation with triangle function as free term
Author(s) -
Limin Wang,
Chuanbo Ren,
Xu Shi-Lang,
Zhao Xi-Qiang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.543
Subject(s) - fredholm integral equation , fredholm theory , kernel (algebra) , logarithm , integral equation , singularity , fredholm determinant , mathematics , type (biology) , mathematical analysis , term (time) , function (biology) , variable (mathematics) , pure mathematics , physics , ecology , quantum mechanics , evolutionary biology , biology
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.