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arXiv · 1106.4174

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

Tanya Kodliuk·Vladimir Mikhailets·Nadya Reva
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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.

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Tanya Kodliuk, Vladimir Mikhailets, Nadya Reva. 2011-06-21. Continuous parameter dependence for solutions of one-dimensional boundary value problems. https://arxiv.org/abs/1106.4174

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