含间断项的非线性Volterra型积分方程正解的唯一存在性

Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity

本文利用含间断项增算子不动点定理讨论了一类非线性Volterra型积分方程正解存在唯一性．在解存在性准则中取消了函数连续性限制，在较弱条件下得到了正解存在唯一性定理．

In this paper, the fixed point theorem of increasing operator with noncontinuity is utilized to discuss the existence and uniqueness of positive solutionfor a class of non-linear Volterra integral equations. An important conditionof continuity can be replaced by weak condition.