This work shed light on the solvability of a nonlinear Volterra integral equation in the case where the kernel of this equation is weakly singular. We certainly aim to get a precise solution. This can be achieved by applying a product integration method which is able to construct a nonlinear system. To solve the resulting system, it suffices to employ Broyden’s method. In the sequel, we add a computational application after the convergence proof of our approximate solution

中文翻译：

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用弱奇异核处理非线性Volterra积分方程的乘积积分方法

在该方程的核为弱奇异的情况下，这项工作揭示了非线性Volterra积分方程的可解性。我们当然希望获得精确的解决方案。这可以通过应用能够构建非线性系统的产品集成方法来实现。为了解决最终的系统，采用Broyden方法就足够了。在续集中，我们在近似解的收敛性证明之后添加了一个计算应用程序