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A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero. 相似文献
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林武忠 《应用数学和力学(英文版)》1987,(6)
In this paper the singular perturbation problem of linear algebraic equations with asmall parameter is presented by an example in practice.The existence and uniquenesstheorem of its solution is proved by the perturbation method and the estimation of error forits approximate solution is given.Finally,the example mentioned above explaining how toapply the theory to solve the stiff equations is shown. 相似文献
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针对一类含有小参数的变分问题构造了零次渐近解,并证明了当小参数趋向于0时,该零次渐近解就是原问题的极小化序列. 相似文献
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奇摄动线性代数方程组及其对病态方程的应用 总被引:1,自引:0,他引:1
本文首先从一个曲柄导杆机构的优化问题提出了含小参数线性代数方程组的奇摄动问题。然后利用摄动方法证明了这个问题解的存在唯一性,同时给出了解的渐近展开和误差估计。最后讨论了所得结果对求解病态方程的应用。 相似文献
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针对二阶半线性Dirichlet问题用边界层函数法构造了渐近解,给出了转移点的渐近表达式,并用微分不等式方法证明了阶梯状空间对照结构的存在性和进行了余项估计. 相似文献
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ASINGULARSINGULARLY-PERTURBEDBOUNDARYVALUEPROBLEM¥LinWuzhong(林武忠);WangZhiming(汪志鸣)(EastChinaNormalUniversity,上海华东师范大学,邮编:2000... 相似文献
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林武忠 《应用数学学报(英文版)》1995,11(2):192-200
ASINGULARLYPERTURBEDSECONDORDERQUASILINEARBVPLINWUZHONG(林武忠)(DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062... 相似文献
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A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article.Using the boundary layer function method,the asymptotic solution of such a p... 相似文献
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