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

• Datum: 2018
• Hauptverfasser: Atlasiuk, O. M., Mikhailets, V. A., Атласюк, О. М., Михайлець, В. А.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1649
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...