Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
复制标题
消失系数情况下具有旋转和简并核的奇异积分方程的可解性
DOI：
10.1142/s0219530514500468
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
P. D.
中科院分区：
文献类型：
--
作者：
Castro;L. P.; Rojas;E. M.; Saitoh;S.; Tuan;N. M.; Tuan;P. D.
本文利用黎曼边值问题和某些方便的线性代数方程组，研究了一类带有旋转和简并核的奇异积分方程在单位圆上系数消失的情况下的可解性。详细考虑和描述了相应方程中系数指数的所有可能性，并得到了它们的解的明确公式。最后一节的末尾显示了该方法的应用示例。
By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a coefficient vanishing on the unit circle. All the possibilities about the index of the coefficients in the corresponding equations are considered and described in detail, and explicit formulas for their solutions are obtained. An example of application of the method is shown at the end of the last section.