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Fredholm第一种积分方程Ax=y的表示定理和一次迭代定理*

云天铨

云天铨. Fredholm第一种积分方程Ax=y的表示定理和一次迭代定理*[J]. 应用数学和力学, 1989, 10(7): 569-574.
引用本文: 云天铨. Fredholm第一种积分方程Ax=y的表示定理和一次迭代定理*[J]. 应用数学和力学, 1989, 10(7): 569-574.
Yun Tian-quan. Representation Theorem and One-Iteration Theorem for Fredholm Integral Equation of the First Kind Ax=y[J]. Applied Mathematics and Mechanics, 1989, 10(7): 569-574.
Citation: Yun Tian-quan. Representation Theorem and One-Iteration Theorem for Fredholm Integral Equation of the First Kind Ax=y[J]. Applied Mathematics and Mechanics, 1989, 10(7): 569-574.

Fredholm第一种积分方程Ax=y的表示定理和一次迭代定理*

基金项目: * 国家自然科学基金资助课题

Representation Theorem and One-Iteration Theorem for Fredholm Integral Equation of the First Kind Ax=y

  • 摘要: 本文给出两个定理.表示定理指出:若具有界L2核的Fredholm第一种积分方程Ax=y有唯一解,则其中,一次迭代定理指出:可由公式=x0+g0A*(y-Ax0)一次迭代求得的充分和必要条件是满足下列条件之一:
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出版历程
  • 收稿日期:  1988-04-05
  • 刊出日期:  1989-07-15

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