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arXiv · 1910.11652

Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces

Olena Atlasiuk·Vladimir Mikhailets
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Abstract

For systems of linear differential equations on a compact interval, we investigate the~dependence on a parameter $\varepsilon$ of the solutions to boundary-value problems in the Sobolev spaces $W^{n}_{\infty}$. We obtain a constructive criterion of the continuous dependence of the solutions of these problems on the~parameter $\varepsilon$ for $\varepsilon=0$. The degree of convergence of these solutions is established.

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Olena Atlasiuk, Vladimir Mikhailets. 2019-10-25. Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces. https://doi.org/10.1007/s11253-019-01599-7

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