分段单调系数情况下的第三类积分方程

IF 0.3 Q4 MATHEMATICS Transactions of A Razmadze Mathematical Institute Pub Date : 2017-12-01 DOI:10.1016/j.trmi.2017.05.002

D. Shulaia

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引用次数: 1

摘要

我们在Hölder课上研究了第三类积分方程。方程的系数是具有简单零的分段严格单调函数。利用奇异积分方程理论，给出了所考虑方程的可解性的充分必要条件。求解可简化为求解第二类正则积分方程。

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Integral equations of the third kind for the case of piecewise monotone coefficients

We examine the third kind integral equations in Hölder class. The coefficients of the equations are piecewise strictly monotone functions having simple zeros. By singular integral equations theory, for solvability of considered equations, we give the necessary and sufficient conditions. Finding a solution is reduced to solving a regular integral equation of second kind.

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