| 第一类非线性奇异积分方程的迭代解法 |
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| 引用本文： | 李正吾. 第一类非线性奇异积分方程的迭代解法[J]. 五邑大学学报(自然科学版), 2000, 0(4) |
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| 作者姓名： | 李正吾 |
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| 作者单位： | 五邑大学 |
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| 摘 要： | 讨论了密度是关于未知函数的幂、带有柯西核的第一类非线性奇异积分方程. 提出了一种迭代解法，把非线性问题归结为线性问题，实现解的条件容易满足.
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| 关 键 词： | 非线性 奇异积分方程 迭代法 |
The Iterative Solution of the First Kind Nonlinear Bizarre Integral Equation |
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| LI Zheng-wu. The Iterative Solution of the First Kind Nonlinear Bizarre Integral Equation[J]. Journal of Wuyi University(Natural Science Edition), 2000, 0(4) |
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| Authors: | LI Zheng-wu |
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| Abstract: | On the consideration that a continuous function can be approached by a polynomial, the result that the density is the power of the unbeknown function and is the first kind nonlinear bizarre integral equation with Cauchy core is studied and a kind of iterative solution is put forward. The nonlinear problem is converted to a linear problem and the solution conditions are easy to be satisfied. |
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