摘要
利用迭代列和非紧性测度,研究抽象空间核函数不一致连续时的非线性Volterra积分方程解的存在性和唯一性问题。
By iterative sequence and noncompact measure,investigates existence and uniqueness of solution of nolinear Volterra integral equation that kernel function is no uniformly continuous. Proposes and proves three related theorems. The results presented in some previous references may be obtained by the theorems.
关键词
积分方程
非线性
解
存在唯一性
Non-linear integral equation
Volterra integral equation
Solve of equation
Existence
Uniqueness
Kernel function
Uniformly continuous. Weakly compact
