SINGULAR INTEGRAL EQUATIONS ALONG AN
OPEN ARC WITH SOLUTIONS HAVING
SINGULARITIES OF HIGHER ORDER

Abstract

Abstract:

In this paper, the difficulties on calculation in solving singular integral equa-
tions are overcome when the restriction of curve of integration to be a closed contour is
cancelled. When the curve is an open arc and the solutions for singular integral equations
possess singularities of higher order, the solution and the solvable condition for charac-
teristic equations as well as the generalized Noether theorem for complete equations are
given.

Key words: Open arc, singular integral equation, solutions with singularity of higher
order;Noether theorem, characteristic equation

CLC Number:

45E05

ZHONG Shou-Guo. SINGULAR INTEGRAL EQUATIONS ALONG AN
OPEN ARC WITH SOLUTIONS HAVING
SINGULARITIES OF HIGHER ORDER[J].Acta mathematica scientia,Series B, 2005, 25(2): 193-200.

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