Inversion of the Riemann-Liouville Integral Operator and Application to Abel Equation

机译：riemann-liouville积分运算符和应用于abel方程的反演

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We present a formula for the inverse to the Riemann-Liouville integral operator and examine the unique solvability of the Abel type equations; for an equivalent second kind equation, the spline collocation can be applied.

机译：我们呈现对Riemann-Liouville积分操作者的反向的公式，并检查Abel型方程的独特可动性;对于等效的第二种类方程，可以应用花键搭配。

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《International Conference on Numerical Analysis and Applied Mathematics》|2015年||共4页
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Gennadi Vainikko;
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正文语种
中图分类计算技术、计算机技术;
关键词
Riemann-Liouville integral operator; Abel equation; Spline collocation method;

机译：riemann-liouville积分运算符;abel方程;花键搭配方法;

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4. Inversion of the Riemann-Liouville Integral Operator and Application to Abel Equation [C] . Gennadi Vainikko International Conference on Numerical Analysis and Applied Mathematics . 2015

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6. Inversion problem for singular integral operators: C*-approach [O] . Alexander Dynin 1978

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8. Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations. [R] . walton, j. r. 1978

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Inversion of the Riemann-Liouville Integral Operator and Application to Abel Equation

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