Abstract.
By means of the definition of Hadamard principal value permutation formula and composition formula for higher order singular integrals developing in [5], the regularization problems for higher order singular integral equations with variable coefficients are discussed, and the higher order singular integral equations with constant coefficient are solved. It is the first time to treat the high order singular integral equations of arbitrary degree in the theory of singular integral equations.
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Chen, L., Zhong, T. Regularization for Higher Order Singular Integral Equations. Integr. equ. oper. theory 62, 65–76 (2008). https://doi.org/10.1007/s00020-008-1606-5
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DOI: https://doi.org/10.1007/s00020-008-1606-5