Continuous parameter dependence for solutions of one-dimensional boundary value problems

Details Continuous parameter dependence for solutions of one-dimensional boundary value problems Continuous parameter dependence for solutions of one-dimensional boundary value problems

2011-06-21

arxiv.org/abs/1106.4174v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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