含间断项的非线性Volterra型积分方程正解的唯一存在性

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

North China Institute of Water Conservancy and Hydro Power Handan, Hebei 056021, P. R. China

摘要: 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.
- 正规锥 /
- 增算子 /
- 积分方程正解
Abstract: In this paper, the fixed point theorem of increasing opera for with non-continuityis uilized to discuss foe exislence and uniqueness of positire solution for a class of nonlinear Volterra integral equations. An important condition of continuity can bereplaced by weak condition.
- normal cone /
- increasing operator /
- positive solution for integral equation

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