Limit theorems for one-dimensional boundary-value problems

被引：0
|
作者：
T. I. Kodlyuk
V. A. Mikhailets
N. V. Reva
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
[2] “Kyiv Polytechnic Institute” Ukrainian National Technical University,undefined
来源：
Ukrainian Mathematical Journal | 2013年 / 65卷
关键词：
Limit Theorem; Limit Relation; Liouville Operator; Ukrainian National Academy; Linear Ordinary Differential Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the limit with respect to a parameter in the uniform norm for the solutions of general boundary-value problems for systems of linear ordinary differential equations of the first order. A generalization of the Kiguradze theorem (1987) to this class of problems is obtained. The conditions imposed on the asymptotic behavior of the coefficients of systems are weakened as much as possible. Sufficient conditions for the uniform convergence of Green matrices to the Green matrix of the limit boundary-value problem are also established.
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页码：77 / 90
页数：13
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