Limit theorems for general one-dimensional boundary-value problems

被引：0
|
作者：
Mikhailets V.A. [1 ]
Chekhanova G.A. [1 ]
机构：
[1] Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev 01601, National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37, Prospect Peremohy, Kyiv
来源：
Journal of Mathematical Sciences | 2015年 / 204卷 / 3期
关键词：
continuity with respect to parameter; convergence of Green matrices; General boundary-value problem; uniform convergence together with derivatives;
D O I：
10.1007/s10958-014-2205-4
中图分类号：
学科分类号：
摘要：
We investigate parameter-dependent general inhomogeneous boundary-value problems for systems of linear differential equations, of order n ∈ N, given on a finite interval. We find sufficient conditions under which the solutions to the problems together with their derivatives up to order n − 1 are continuous in the uniform norm with respect to the parameter. We also present sufficient conditions under which the Green matrices corresponding to these problems converge uniformly in the parameter. © 2014, Springer Science+Business Media New York.
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页码：333 / 342
页数：9
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