SINGULAR INTEGRAL EQUATIONS ON THE REAL AXIS WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER  

作　　者：钟寿国 

机构地区：[1]School of Mathematics and Statistics, Wuhan University

出　　处：《Acta Mathematica Scientia》2010年第4期1093-1099,共7页数学物理学报（B辑英文版）

基　　金：Supported by the NNSF of China (10471107);RFDP of Higher Education of China (20060486001)

摘　　要：We transform the singular integral equations with solutions simultaneously having singularities of higher order at infinite point and at several finite points on the real axis into ones along a closed contour with solutions having singularities of higher order, and for the former obtain the extended Neother theorem of complete equation as well as the solutions and the solvable conditions of characteristic equation from the latter. The conclusions drawn by this article contain special cases discussed before.We transform the singular integral equations with solutions simultaneously having singularities of higher order at infinite point and at several finite points on the real axis into ones along a closed contour with solutions having singularities of higher order, and for the former obtain the extended Neother theorem of complete equation as well as the solutions and the solvable conditions of characteristic equation from the latter. The conclusions drawn by this article contain special cases discussed before.

关 键 词：Singular integral equation solution with singularities of higher order real axis infinite point class ■＊λ1 ... λn λ∞ 

分 类 号：O175.5[理学—数学] O175.12[理学—基础数学]