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第一类非线性奇异积分方程的迭代解法
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)
作者姓名:李正吾
作者单位:五邑大学
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.

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
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)
Authors:LI Zheng-wu
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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