| 非线性方程L(λ)U+R(ε,λ,u)=0分支解的迭代方法 |
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| 引用本文： | 石辉荣.非线性方程L(λ)U+R(ε,λ,u)=0分支解的迭代方法[J].成都大学学报(自然科学版),1993,12(1):31-36. |
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| 作者姓名： | 石辉荣 |
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| 摘 要： | 本文针对一类非线性方程,构造了一种求其分支解的迭代方法。与其它方法相比,它有这样的优点:在每一步迭代中只需求解一个线性泛函方程。此外还讨论了它的收敛性、存在性及收敛率。
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| 关 键 词： | 非线性方程 分支解 迭代法 |
An Iteration Method on Branching Solutions of Nonlinear Equation L(λ)U+R(ε,λ,μ)=0 |
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| Shi Huirong.An Iteration Method on Branching Solutions of Nonlinear Equation L(λ)U+R(ε,λ,μ)=0[J].Journal of Chengdu University (Natural Science),1993,12(1):31-36. |
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| Authors: | Shi Huirong |
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| Institution: | Shi Huirong |
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| Abstract: | An iteration method on bifurcation solutions of following nonlinear equations is constructed. It has advantage on other methods that only one linear functional equation is requested to be solved in on iteration. With more, We discuss its convergence, existence and convergent rate. |
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| Keywords: | Nonlinear Equation Branching Solutions Iteration Method |
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