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

doi:10.1016/S0252-9602(10)60106-3

Abstract

Abstract:

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.

Key words: Singular integral equation, solution with singularities of higher order, real axis, infinite point, class H*_λ_{1, …, λn, λ∞}

CLC Number:

45E05

ZHONG Shou-Guo. SINGULAR INTEGRAL EQUATIONS ON THE REAL AXIS WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER[J].Acta mathematica scientia,Series B, 2010, 30(4): 1093-1099.

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