2019
Том 71
№ 7

All Issues

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

Atlasiuk O. M., Mikhailets V. A.


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.

Citation Example: Atlasiuk O. M., Mikhailets V. A. Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces // Ukr. Mat. Zh. - 2018. - 70, № 11. - pp. 1457-1465.