Banach 空间积-微分方程含间断项边值问题的解
Banach 공간적-미분방정함간단항변치문제적해
The Solutions of initial value problems for integro-differential equations in Banach spaces with discontinuous terms
  • 万方数据
    山东大学学报（理学版） 산동대학학보（이학판）
    JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
    2013年 10期 18-22 ,共5页

    王建国%刘春晗

    왕건국%류춘함

    积-微分方程%比较定理%初值问题%单调迭代方法 積-微分方程%比較定理%初值問題%單調迭代方法
    적-미분방정%비교정리%초치문제%단조질대방법
    integro-differential equations%comparison theorem%initial value problem%monotone iterative technique
    利用无限区间上积-微分方程一个新的比较定理讨论了Banach空间中含间断项的积-微分方程初值问题解的存在惟一性，并给出了解的迭代误差估计式。
    이용무한구간상적-미분방정일개신적비교정리토론료Banach공간중함간단항적적-미분방정초치문제해적존재유일성，병급출료해적질대오차고계식。
    By use of a new comparison theorem of integro-differential equations on infinite interval, the existence and u-niqueness of solutions of the initial value problem for integro-differential equations with discontinuous terms in Banach spaces are investigated, and the error estimate of the iterative sequences of solutions is given.
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