Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are shown. Moreover, the theoretical results are illustrated by some numerical examples.

中文翻译：

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一类具有非全局Lipschitz连续系数的随机Volterra积分微分方程的平衡欧拉方法的收敛性

摘要 本文提出一类具有非全局Lipschitz连续系数的随机Volterra积分微分方程的平衡欧拉方法。显示了矩有界性和强收敛性。此外，通过一些数值例子说明了理论结果。