Continuous parameter dependence for solutions of one-dimensional boundary value problems
Analysis of PDEs
2011-06-22 v1
Abstract
We investigate continuous parameter dependence for solutions of general boundary value problems for ordinary linear differential systems. The generalization of Kiguradze's theorem (1987) on correctness of such problems was obtained. Also sufficient conditions for the Green matrices of such problems to converge uniformly to the Green matrix of the limiting problem were found.
Keywords
Cite
@article{arxiv.1106.4174,
title = {Continuous parameter dependence for solutions of one-dimensional boundary value problems},
author = {Tanya Kodliuk and Vladimir Mikhailets and Nadya Reva},
journal= {arXiv preprint arXiv:1106.4174},
year = {2011}
}