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中文摘要：
应用逐次逼近法研究了随机Volterra—Levin方程解的存在性，并结合H61der不等式证明了该方程解的唯一性与稳定性．最后用2个例子说明所获结果的有效性，同时表明条件“存在常数m〉0,使得∫-L^0p（s）ds=m”和“对所有的t≥0，∫0^1 e^4amsσ^2（t）ds/e^4amt都有界”是对Luo提出的条件进行了改进．
英文摘要：
Using the method of successive approximations, the existence of the solution for stochastic Volterra-Levin equations is obtained. Also, based on the H61der inequality, the solution is proven unique and stable. Finally, two examples show that the proposed conditions ＂there exists a constant m 〉 0, such that ∫-L^0p（s）ds=m＂ and ＂t≥0,∫0^1 e^4amsσ^2（t）ds/e^4amt is bounded for all t≥0＂generalize and improve those given in Luo＇s paper.
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