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

Limin Wang | Zendy; Chuanbo Ren | Zendy; Xu Shi-Lang | Zendy; Zhao Xi-Qiang | Zendy

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A 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 -

acta physica sinica

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.

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