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含间断项的非线性Volterra型积分方程正解的唯一存在性
引用本文:董卫.含间断项的非线性Volterra型积分方程正解的唯一存在性[J].应用数学和力学,1997,18(12):1111-1116.
作者姓名:董卫
作者单位:华北水利水电学院基础部!河北邯郸,056021
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.

关 键 词:正规锥  增算子  积分方程正解

Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity
Dong Wei.Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity[J].Applied Mathematics and Mechanics,1997,18(12):1111-1116.
Authors:Dong Wei
Abstract: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.
Keywords:normal cone  increasing operator  positive solution for integral equation
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