数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 193-200.

• 论文 •    下一篇

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

钟寿国   

  1. School of Mathematics and Statistics, Wuhan University,
  • 出版日期:2005-04-20 发布日期:2005-04-20
  • 基金资助:

    Foundation item is supported by the NNSF of China(19971064)

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

 ZHONG Shou-Guo   

  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    Foundation item is supported by the NNSF of China(19971064)

摘要:

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.

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

中图分类号: 

  • 45E05